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Finding the Fourth Proportional to 201,643.80, 302,465.70 and 61,402.20

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Solution

The fourth proportional to 201,643.80, 302,465.70 and 61,402.20 is: 92,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,643.80 : 302,465.70 = 61,402.20 : x
  2. Step 2: Convert to fraction form
    201,643.80/302,465.70 = 61,402.20/x
  3. Step 3: Cross multiply
    201,643.80x = 302,465.70 × 61,402.20
  4. Step 4: Simplify right side
    201,643.80x = 18,572,059,404.54
  5. Step 5: Solve for x
    x = 18,572,059,404.54/201,643.80
  6. Step 6: Final answer
    x = 92,103.30

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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.