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Finding the Fourth Proportional to 270,753.16, 406,017.78 and 102,244.84

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Solution

The fourth proportional to 270,753.16, 406,017.78 and 102,244.84 is: 153,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,753.16 : 406,017.78 = 102,244.84 : x
  2. Step 2: Convert to fraction form
    270,753.16/406,017.78 = 102,244.84/x
  3. Step 3: Cross multiply
    270,753.16x = 406,017.78 × 102,244.84
  4. Step 4: Simplify right side
    270,753.16x = 41,513,222,953.26
  5. Step 5: Solve for x
    x = 41,513,222,953.26/270,753.16
  6. Step 6: Final answer
    x = 153,324.98

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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.