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Finding the Fourth Proportional to 102,430.53, 141,342.72 and 62,154.09

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Solution

The fourth proportional to 102,430.53, 141,342.72 and 62,154.09 is: 85,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,430.53 : 141,342.72 = 62,154.09 : x
  2. Step 2: Convert to fraction form
    102,430.53/141,342.72 = 62,154.09/x
  3. Step 3: Cross multiply
    102,430.53x = 141,342.72 × 62,154.09
  4. Step 4: Simplify right side
    102,430.53x = 8,785,028,139.72
  5. Step 5: Solve for x
    x = 8,785,028,139.72/102,430.53
  6. Step 6: Final answer
    x = 85,765.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.