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Finding the Fourth Proportional to 180,627.74, 270,931.19 and 54,265.28

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Solution

The fourth proportional to 180,627.74, 270,931.19 and 54,265.28 is: 81,394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,627.74 : 270,931.19 = 54,265.28 : x
  2. Step 2: Convert to fraction form
    180,627.74/270,931.19 = 54,265.28/x
  3. Step 3: Cross multiply
    180,627.74x = 270,931.19 × 54,265.28
  4. Step 4: Simplify right side
    180,627.74x = 14,702,155,260.10
  5. Step 5: Solve for x
    x = 14,702,155,260.10/180,627.74
  6. Step 6: Final answer
    x = 81,394.78

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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.