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Finding the Fourth Proportional to 117,385.76, 176,058.14 and 54,200.48

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Solution

The fourth proportional to 117,385.76, 176,058.14 and 54,200.48 is: 81,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,385.76 : 176,058.14 = 54,200.48 : x
  2. Step 2: Convert to fraction form
    117,385.76/176,058.14 = 54,200.48/x
  3. Step 3: Cross multiply
    117,385.76x = 176,058.14 × 54,200.48
  4. Step 4: Simplify right side
    117,385.76x = 9,542,435,695.91
  5. Step 5: Solve for x
    x = 9,542,435,695.91/117,385.76
  6. Step 6: Final answer
    x = 81,291.25

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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.