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Finding the Fourth Proportional to 107,565.50, 148,183.46 and 75,239.76

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Solution

The fourth proportional to 107,565.50, 148,183.46 and 75,239.76 is: 103,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,565.50 : 148,183.46 = 75,239.76 : x
  2. Step 2: Convert to fraction form
    107,565.50/148,183.46 = 75,239.76/x
  3. Step 3: Cross multiply
    107,565.50x = 148,183.46 × 75,239.76
  4. Step 4: Simplify right side
    107,565.50x = 11,149,287,966.37
  5. Step 5: Solve for x
    x = 11,149,287,966.37/107,565.50
  6. Step 6: Final answer
    x = 103,651.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.