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Finding the Fourth Proportional to 107,158.21, 160,737.31 and 36,999.25

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Solution

The fourth proportional to 107,158.21, 160,737.31 and 36,999.25 is: 55,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,158.21 : 160,737.31 = 36,999.25 : x
  2. Step 2: Convert to fraction form
    107,158.21/160,737.31 = 36,999.25/x
  3. Step 3: Cross multiply
    107,158.21x = 160,737.31 × 36,999.25
  4. Step 4: Simplify right side
    107,158.21x = 5,947,159,561.42
  5. Step 5: Solve for x
    x = 5,947,159,561.42/107,158.21
  6. Step 6: Final answer
    x = 55,498.87

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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.