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Finding the Fourth Proportional to 102,507.60, 141,460.65 and 56,566.17

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Solution

The fourth proportional to 102,507.60, 141,460.65 and 56,566.17 is: 78,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,507.60 : 141,460.65 = 56,566.17 : x
  2. Step 2: Convert to fraction form
    102,507.60/141,460.65 = 56,566.17/x
  3. Step 3: Cross multiply
    102,507.60x = 141,460.65 × 56,566.17
  4. Step 4: Simplify right side
    102,507.60x = 8,001,887,176.21
  5. Step 5: Solve for x
    x = 8,001,887,176.21/102,507.60
  6. Step 6: Final answer
    x = 78,061.40

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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.