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Finding the Fourth Proportional to 96,123.49, 144,151.84 and 53,493.97

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Solution

The fourth proportional to 96,123.49, 144,151.84 and 53,493.97 is: 80,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,123.49 : 144,151.84 = 53,493.97 : x
  2. Step 2: Convert to fraction form
    96,123.49/144,151.84 = 53,493.97/x
  3. Step 3: Cross multiply
    96,123.49x = 144,151.84 × 53,493.97
  4. Step 4: Simplify right side
    96,123.49x = 7,711,254,080.88
  5. Step 5: Solve for x
    x = 7,711,254,080.88/96,123.49
  6. Step 6: Final answer
    x = 80,222.37

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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.