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Finding the Fourth Proportional to 160,377.71, 240,496.49 and 76,162.01

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Solution

The fourth proportional to 160,377.71, 240,496.49 and 76,162.01 is: 114,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,377.71 : 240,496.49 = 76,162.01 : x
  2. Step 2: Convert to fraction form
    160,377.71/240,496.49 = 76,162.01/x
  3. Step 3: Cross multiply
    160,377.71x = 240,496.49 × 76,162.01
  4. Step 4: Simplify right side
    160,377.71x = 18,316,695,064.27
  5. Step 5: Solve for x
    x = 18,316,695,064.27/160,377.71
  6. Step 6: Final answer
    x = 114,209.73

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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.