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Finding the Fourth Proportional to 270,644.60, 406,064.12 and 112,921.40

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Solution

The fourth proportional to 270,644.60, 406,064.12 and 112,921.40 is: 169,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,644.60 : 406,064.12 = 112,921.40 : x
  2. Step 2: Convert to fraction form
    270,644.60/406,064.12 = 112,921.40/x
  3. Step 3: Cross multiply
    270,644.60x = 406,064.12 × 112,921.40
  4. Step 4: Simplify right side
    270,644.60x = 45,853,328,920.17
  5. Step 5: Solve for x
    x = 45,853,328,920.17/270,644.60
  6. Step 6: Final answer
    x = 169,422.66

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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.