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Finding the Fourth Proportional to 242,702.44, 364,217.72 and 84,932.28

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Solution

The fourth proportional to 242,702.44, 364,217.72 and 84,932.28 is: 127,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,702.44 : 364,217.72 = 84,932.28 : x
  2. Step 2: Convert to fraction form
    242,702.44/364,217.72 = 84,932.28/x
  3. Step 3: Cross multiply
    242,702.44x = 364,217.72 × 84,932.28
  4. Step 4: Simplify right side
    242,702.44x = 30,933,841,376.00
  5. Step 5: Solve for x
    x = 30,933,841,376.00/242,702.44
  6. Step 6: Final answer
    x = 127,455.83

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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.