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Finding the Fourth Proportional to 97,338.52, 146,005.86 and 59,398.96

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Solution

The fourth proportional to 97,338.52, 146,005.86 and 59,398.96 is: 89,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,338.52 : 146,005.86 = 59,398.96 : x
  2. Step 2: Convert to fraction form
    97,338.52/146,005.86 = 59,398.96/x
  3. Step 3: Cross multiply
    97,338.52x = 146,005.86 × 59,398.96
  4. Step 4: Simplify right side
    97,338.52x = 8,672,596,237.91
  5. Step 5: Solve for x
    x = 8,672,596,237.91/97,338.52
  6. Step 6: Final answer
    x = 89,097.27

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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.