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Finding the Fourth Proportional to 96,458.88, 144,508.50 and 56,898.48

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Solution

The fourth proportional to 96,458.88, 144,508.50 and 56,898.48 is: 85,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,458.88 : 144,508.50 = 56,898.48 : x
  2. Step 2: Convert to fraction form
    96,458.88/144,508.50 = 56,898.48/x
  3. Step 3: Cross multiply
    96,458.88x = 144,508.50 × 56,898.48
  4. Step 4: Simplify right side
    96,458.88x = 8,222,313,997.08
  5. Step 5: Solve for x
    x = 8,222,313,997.08/96,458.88
  6. Step 6: Final answer
    x = 85,241.65

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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.