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Finding the Fourth Proportional to 117,123.68, 175,702.32 and 38,218.40

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Solution

The fourth proportional to 117,123.68, 175,702.32 and 38,218.40 is: 57,333.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,123.68 : 175,702.32 = 38,218.40 : x
  2. Step 2: Convert to fraction form
    117,123.68/175,702.32 = 38,218.40/x
  3. Step 3: Cross multiply
    117,123.68x = 175,702.32 × 38,218.40
  4. Step 4: Simplify right side
    117,123.68x = 6,715,061,546.69
  5. Step 5: Solve for x
    x = 6,715,061,546.69/117,123.68
  6. Step 6: Final answer
    x = 57,333.08

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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.