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Finding the Fourth Proportional to 120,737.70, 181,105.65 and 36,497.70

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Solution

The fourth proportional to 120,737.70, 181,105.65 and 36,497.70 is: 54,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,737.70 : 181,105.65 = 36,497.70 : x
  2. Step 2: Convert to fraction form
    120,737.70/181,105.65 = 36,497.70/x
  3. Step 3: Cross multiply
    120,737.70x = 181,105.65 × 36,497.70
  4. Step 4: Simplify right side
    120,737.70x = 6,609,939,682.01
  5. Step 5: Solve for x
    x = 6,609,939,682.01/120,737.70
  6. Step 6: Final answer
    x = 54,746.28

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Why These Related Problems?

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