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Finding the Fourth Proportional to 96,398.78, 144,623.10 and 56,451.50

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Solution

The fourth proportional to 96,398.78, 144,623.10 and 56,451.50 is: 84,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,398.78 : 144,623.10 = 56,451.50 : x
  2. Step 2: Convert to fraction form
    96,398.78/144,623.10 = 56,451.50/x
  3. Step 3: Cross multiply
    96,398.78x = 144,623.10 × 56,451.50
  4. Step 4: Simplify right side
    96,398.78x = 8,164,190,929.65
  5. Step 5: Solve for x
    x = 8,164,190,929.65/96,398.78
  6. Step 6: Final answer
    x = 84,691.85

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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.