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Finding the Fourth Proportional to 96,543.35, 144,869.40 and 75,424.20

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Solution

The fourth proportional to 96,543.35, 144,869.40 and 75,424.20 is: 113,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,543.35 : 144,869.40 = 75,424.20 : x
  2. Step 2: Convert to fraction form
    96,543.35/144,869.40 = 75,424.20/x
  3. Step 3: Cross multiply
    96,543.35x = 144,869.40 × 75,424.20
  4. Step 4: Simplify right side
    96,543.35x = 10,926,657,875.13
  5. Step 5: Solve for x
    x = 10,926,657,875.13/96,543.35
  6. Step 6: Final answer
    x = 113,178.78

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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.