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Finding the Fourth Proportional to 117,597.20, 175,963.80 and 86,493.20

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Solution

The fourth proportional to 117,597.20, 175,963.80 and 86,493.20 is: 129,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,597.20 : 175,963.80 = 86,493.20 : x
  2. Step 2: Convert to fraction form
    117,597.20/175,963.80 = 86,493.20/x
  3. Step 3: Cross multiply
    117,597.20x = 175,963.80 × 86,493.20
  4. Step 4: Simplify right side
    117,597.20x = 15,219,672,146.16
  5. Step 5: Solve for x
    x = 15,219,672,146.16/117,597.20
  6. Step 6: Final answer
    x = 129,422.06

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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.