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Finding the Fourth Proportional to 106,615.74, 160,020.34 and 56,737.83

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Solution

The fourth proportional to 106,615.74, 160,020.34 and 56,737.83 is: 85,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,615.74 : 160,020.34 = 56,737.83 : x
  2. Step 2: Convert to fraction form
    106,615.74/160,020.34 = 56,737.83/x
  3. Step 3: Cross multiply
    106,615.74x = 160,020.34 × 56,737.83
  4. Step 4: Simplify right side
    106,615.74x = 9,079,206,847.46
  5. Step 5: Solve for x
    x = 9,079,206,847.46/106,615.74
  6. Step 6: Final answer
    x = 85,158.22

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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.