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Finding the Fourth Proportional to 117,514.80, 176,387.40 and 58,417.20

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Solution

The fourth proportional to 117,514.80, 176,387.40 and 58,417.20 is: 87,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,514.80 : 176,387.40 = 58,417.20 : x
  2. Step 2: Convert to fraction form
    117,514.80/176,387.40 = 58,417.20/x
  3. Step 3: Cross multiply
    117,514.80x = 176,387.40 × 58,417.20
  4. Step 4: Simplify right side
    117,514.80x = 10,304,058,023.28
  5. Step 5: Solve for x
    x = 10,304,058,023.28/117,514.80
  6. Step 6: Final answer
    x = 87,683.07

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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.