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Finding the Fourth Proportional to 99,404.92, 148,998.90 and 48,838.78

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Solution

The fourth proportional to 99,404.92, 148,998.90 and 48,838.78 is: 73,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,404.92 : 148,998.90 = 48,838.78 : x
  2. Step 2: Convert to fraction form
    99,404.92/148,998.90 = 48,838.78/x
  3. Step 3: Cross multiply
    99,404.92x = 148,998.90 × 48,838.78
  4. Step 4: Simplify right side
    99,404.92x = 7,276,924,497.34
  5. Step 5: Solve for x
    x = 7,276,924,497.34/99,404.92
  6. Step 6: Final answer
    x = 73,204.87

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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.