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Finding the Fourth Proportional to 101,565.52, 152,384.80 and 45,400.96

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Solution

The fourth proportional to 101,565.52, 152,384.80 and 45,400.96 is: 68,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,565.52 : 152,384.80 = 45,400.96 : x
  2. Step 2: Convert to fraction form
    101,565.52/152,384.80 = 45,400.96/x
  3. Step 3: Cross multiply
    101,565.52x = 152,384.80 × 45,400.96
  4. Step 4: Simplify right side
    101,565.52x = 6,918,416,209.41
  5. Step 5: Solve for x
    x = 6,918,416,209.41/101,565.52
  6. Step 6: Final answer
    x = 68,117.76

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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.