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Finding the Fourth Proportional to 102,114.77, 140,897.52 and 59,665.10

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Solution

The fourth proportional to 102,114.77, 140,897.52 and 59,665.10 is: 82,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,114.77 : 140,897.52 = 59,665.10 : x
  2. Step 2: Convert to fraction form
    102,114.77/140,897.52 = 59,665.10/x
  3. Step 3: Cross multiply
    102,114.77x = 140,897.52 × 59,665.10
  4. Step 4: Simplify right side
    102,114.77x = 8,406,663,916.06
  5. Step 5: Solve for x
    x = 8,406,663,916.06/102,114.77
  6. Step 6: Final answer
    x = 82,325.65

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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.