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Finding the Fourth Proportional to 270,897.67, 406,373.24 and 93,381.31

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Solution

The fourth proportional to 270,897.67, 406,373.24 and 93,381.31 is: 140,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,897.67 : 406,373.24 = 93,381.31 : x
  2. Step 2: Convert to fraction form
    270,897.67/406,373.24 = 93,381.31/x
  3. Step 3: Cross multiply
    270,897.67x = 406,373.24 × 93,381.31
  4. Step 4: Simplify right side
    270,897.67x = 37,947,665,500.14
  5. Step 5: Solve for x
    x = 37,947,665,500.14/270,897.67
  6. Step 6: Final answer
    x = 140,081.18

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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.