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Finding the Fourth Proportional to 102,520.96, 141,471.90 and 59,501.70

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Solution

The fourth proportional to 102,520.96, 141,471.90 and 59,501.70 is: 82,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,520.96 : 141,471.90 = 59,501.70 : x
  2. Step 2: Convert to fraction form
    102,520.96/141,471.90 = 59,501.70/x
  3. Step 3: Cross multiply
    102,520.96x = 141,471.90 × 59,501.70
  4. Step 4: Simplify right side
    102,520.96x = 8,417,818,552.23
  5. Step 5: Solve for x
    x = 8,417,818,552.23/102,520.96
  6. Step 6: Final answer
    x = 82,108.27

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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.