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Finding the Fourth Proportional to 120,737.96, 181,296.50 and 102,260.24

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Solution

The fourth proportional to 120,737.96, 181,296.50 and 102,260.24 is: 153,550.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,737.96 : 181,296.50 = 102,260.24 : x
  2. Step 2: Convert to fraction form
    120,737.96/181,296.50 = 102,260.24/x
  3. Step 3: Cross multiply
    120,737.96x = 181,296.50 × 102,260.24
  4. Step 4: Simplify right side
    120,737.96x = 18,539,423,601.16
  5. Step 5: Solve for x
    x = 18,539,423,601.16/120,737.96
  6. Step 6: Final answer
    x = 153,550.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.