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Finding the Fourth Proportional to 165,909.90, 248,864.85 and 55,101.90

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Solution

The fourth proportional to 165,909.90, 248,864.85 and 55,101.90 is: 82,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,909.90 : 248,864.85 = 55,101.90 : x
  2. Step 2: Convert to fraction form
    165,909.90/248,864.85 = 55,101.90/x
  3. Step 3: Cross multiply
    165,909.90x = 248,864.85 × 55,101.90
  4. Step 4: Simplify right side
    165,909.90x = 13,712,926,078.22
  5. Step 5: Solve for x
    x = 13,712,926,078.22/165,909.90
  6. Step 6: Final answer
    x = 82,652.85

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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.