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Finding the Fourth Proportional to 165,589.80, 228,078.60 and 127,276.08

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Solution

The fourth proportional to 165,589.80, 228,078.60 and 127,276.08 is: 175,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,589.80 : 228,078.60 = 127,276.08 : x
  2. Step 2: Convert to fraction form
    165,589.80/228,078.60 = 127,276.08/x
  3. Step 3: Cross multiply
    165,589.80x = 228,078.60 × 127,276.08
  4. Step 4: Simplify right side
    165,589.80x = 29,028,950,139.89
  5. Step 5: Solve for x
    x = 29,028,950,139.89/165,589.80
  6. Step 6: Final answer
    x = 175,306.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.