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Finding the Fourth Proportional to 223,301.44, 334,355.76 and 187,872

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Solution

The fourth proportional to 223,301.44, 334,355.76 and 187,872 is: 281,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,301.44 : 334,355.76 = 187,872 : x
  2. Step 2: Convert to fraction form
    223,301.44/334,355.76 = 187,872/x
  3. Step 3: Cross multiply
    223,301.44x = 334,355.76 × 187,872
  4. Step 4: Simplify right side
    223,301.44x = 62,816,085,342.72
  5. Step 5: Solve for x
    x = 62,816,085,342.72/223,301.44
  6. Step 6: Final answer
    x = 281,306.23

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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.