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Finding the Fourth Proportional to 110,398.83, 165,459.41 and 59,795.88

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Solution

The fourth proportional to 110,398.83, 165,459.41 and 59,795.88 is: 89,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,398.83 : 165,459.41 = 59,795.88 : x
  2. Step 2: Convert to fraction form
    110,398.83/165,459.41 = 59,795.88/x
  3. Step 3: Cross multiply
    110,398.83x = 165,459.41 × 59,795.88
  4. Step 4: Simplify right side
    110,398.83x = 9,893,790,726.25
  5. Step 5: Solve for x
    x = 9,893,790,726.25/110,398.83
  6. Step 6: Final answer
    x = 89,618.62

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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.