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Finding the Fourth Proportional to 201,744.40, 302,908.20 and 152,172.40

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Solution

The fourth proportional to 201,744.40, 302,908.20 and 152,172.40 is: 228,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,744.40 : 302,908.20 = 152,172.40 : x
  2. Step 2: Convert to fraction form
    201,744.40/302,908.20 = 152,172.40/x
  3. Step 3: Cross multiply
    201,744.40x = 302,908.20 × 152,172.40
  4. Step 4: Simplify right side
    201,744.40x = 46,094,267,773.68
  5. Step 5: Solve for x
    x = 46,094,267,773.68/201,744.40
  6. Step 6: Final answer
    x = 228,478.55

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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.