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Finding the Fourth Proportional to 102,509.60, 141,463.41 and 56,568.17

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Solution

The fourth proportional to 102,509.60, 141,463.41 and 56,568.17 is: 78,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,509.60 : 141,463.41 = 56,568.17 : x
  2. Step 2: Convert to fraction form
    102,509.60/141,463.41 = 56,568.17/x
  3. Step 3: Cross multiply
    102,509.60x = 141,463.41 × 56,568.17
  4. Step 4: Simplify right side
    102,509.60x = 8,002,326,225.66
  5. Step 5: Solve for x
    x = 8,002,326,225.66/102,509.60
  6. Step 6: Final answer
    x = 78,064.16

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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.