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Finding the Fourth Proportional to 97,398.58, 146,187.68 and 49,400.88

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Solution

The fourth proportional to 97,398.58, 146,187.68 and 49,400.88 is: 74,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,398.58 : 146,187.68 = 49,400.88 : x
  2. Step 2: Convert to fraction form
    97,398.58/146,187.68 = 49,400.88/x
  3. Step 3: Cross multiply
    97,398.58x = 146,187.68 × 49,400.88
  4. Step 4: Simplify right side
    97,398.58x = 7,221,800,037.16
  5. Step 5: Solve for x
    x = 7,221,800,037.16/97,398.58
  6. Step 6: Final answer
    x = 74,146.87

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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.