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Finding the Fourth Proportional to 100,702.08, 138,965.88 and 55,380

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Solution

The fourth proportional to 100,702.08, 138,965.88 and 55,380 is: 76,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,702.08 : 138,965.88 = 55,380 : x
  2. Step 2: Convert to fraction form
    100,702.08/138,965.88 = 55,380/x
  3. Step 3: Cross multiply
    100,702.08x = 138,965.88 × 55,380
  4. Step 4: Simplify right side
    100,702.08x = 7,695,930,434.40
  5. Step 5: Solve for x
    x = 7,695,930,434.40/100,702.08
  6. Step 6: Final answer
    x = 76,422.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.