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Finding the Fourth Proportional to 201,769,202.80, 302,706,948.30 and 72,363,319.30

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Solution

The fourth proportional to 201,769,202.80, 302,706,948.30 and 72,363,319.30 is: 108,564,038.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,769,202.80 : 302,706,948.30 = 72,363,319.30 : x
  2. Step 2: Convert to fraction form
    201,769,202.80/302,706,948.30 = 72,363,319.30/x
  3. Step 3: Cross multiply
    201,769,202.80x = 302,706,948.30 × 72,363,319.30
  4. Step 4: Simplify right side
    201,769,202.80x = 21,904,879,554,161,492
  5. Step 5: Solve for x
    x = 21,904,879,554,161,492/201,769,202.80
  6. Step 6: Final answer
    x = 108,564,038.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.