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Finding the Fourth Proportional to 142,785.32, 214,205.02 and 57,402.78

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Solution

The fourth proportional to 142,785.32, 214,205.02 and 57,402.78 is: 86,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,785.32 : 214,205.02 = 57,402.78 : x
  2. Step 2: Convert to fraction form
    142,785.32/214,205.02 = 57,402.78/x
  3. Step 3: Cross multiply
    142,785.32x = 214,205.02 × 57,402.78
  4. Step 4: Simplify right side
    142,785.32x = 12,295,963,637.96
  5. Step 5: Solve for x
    x = 12,295,963,637.96/142,785.32
  6. Step 6: Final answer
    x = 86,115.04

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