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Finding the Fourth Proportional to 270,844.76, 406,045.49 and 102,269.43

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Solution

The fourth proportional to 270,844.76, 406,045.49 and 102,269.43 is: 153,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,844.76 : 406,045.49 = 102,269.43 : x
  2. Step 2: Convert to fraction form
    270,844.76/406,045.49 = 102,269.43/x
  3. Step 3: Cross multiply
    270,844.76x = 406,045.49 × 102,269.43
  4. Step 4: Simplify right side
    270,844.76x = 41,526,040,305.02
  5. Step 5: Solve for x
    x = 41,526,040,305.02/270,844.76
  6. Step 6: Final answer
    x = 153,320.45

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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.