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Finding the Fourth Proportional to 102,356.64, 141,253.17 and 59,916.06

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Solution

The fourth proportional to 102,356.64, 141,253.17 and 59,916.06 is: 82,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,356.64 : 141,253.17 = 59,916.06 : x
  2. Step 2: Convert to fraction form
    102,356.64/141,253.17 = 59,916.06/x
  3. Step 3: Cross multiply
    102,356.64x = 141,253.17 × 59,916.06
  4. Step 4: Simplify right side
    102,356.64x = 8,463,333,408.91
  5. Step 5: Solve for x
    x = 8,463,333,408.91/102,356.64
  6. Step 6: Final answer
    x = 82,684.75

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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.