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Finding the Fourth Proportional to 107,311.77, 160,869.11 and 37,142.01

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Solution

The fourth proportional to 107,311.77, 160,869.11 and 37,142.01 is: 55,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,311.77 : 160,869.11 = 37,142.01 : x
  2. Step 2: Convert to fraction form
    107,311.77/160,869.11 = 37,142.01/x
  3. Step 3: Cross multiply
    107,311.77x = 160,869.11 × 37,142.01
  4. Step 4: Simplify right side
    107,311.77x = 5,975,001,906.60
  5. Step 5: Solve for x
    x = 5,975,001,906.60/107,311.77
  6. Step 6: Final answer
    x = 55,678.91

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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.