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Finding the Fourth Proportional to 123,702.66, 185,566.14 and 34,956.84

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Solution

The fourth proportional to 123,702.66, 185,566.14 and 34,956.84 is: 52,438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,702.66 : 185,566.14 = 34,956.84 : x
  2. Step 2: Convert to fraction form
    123,702.66/185,566.14 = 34,956.84/x
  3. Step 3: Cross multiply
    123,702.66x = 185,566.14 × 34,956.84
  4. Step 4: Simplify right side
    123,702.66x = 6,486,805,865.40
  5. Step 5: Solve for x
    x = 6,486,805,865.40/123,702.66
  6. Step 6: Final answer
    x = 52,438.69

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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.