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Finding the Fourth Proportional to 117,414.52, 175,977.45 and 54,146.82

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Solution

The fourth proportional to 117,414.52, 175,977.45 and 54,146.82 is: 81,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,414.52 : 175,977.45 = 54,146.82 : x
  2. Step 2: Convert to fraction form
    117,414.52/175,977.45 = 54,146.82/x
  3. Step 3: Cross multiply
    117,414.52x = 175,977.45 × 54,146.82
  4. Step 4: Simplify right side
    117,414.52x = 9,528,618,655.64
  5. Step 5: Solve for x
    x = 9,528,618,655.64/117,414.52
  6. Step 6: Final answer
    x = 81,153.66

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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.