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Finding the Fourth Proportional to 102,737, 141,777.06 and 58,025

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Solution

The fourth proportional to 102,737, 141,777.06 and 58,025 is: 80,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,737 : 141,777.06 = 58,025 : x
  2. Step 2: Convert to fraction form
    102,737/141,777.06 = 58,025/x
  3. Step 3: Cross multiply
    102,737x = 141,777.06 × 58,025
  4. Step 4: Simplify right side
    102,737x = 8,226,613,906.50
  5. Step 5: Solve for x
    x = 8,226,613,906.50/102,737
  6. Step 6: Final answer
    x = 80,074.50

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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.