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Finding the Fourth Proportional to 281,052.54, 421,472.88 and 91,463.22

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Solution

The fourth proportional to 281,052.54, 421,472.88 and 91,463.22 is: 137,160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,052.54 : 421,472.88 = 91,463.22 : x
  2. Step 2: Convert to fraction form
    281,052.54/421,472.88 = 91,463.22/x
  3. Step 3: Cross multiply
    281,052.54x = 421,472.88 × 91,463.22
  4. Step 4: Simplify right side
    281,052.54x = 38,549,266,747.47
  5. Step 5: Solve for x
    x = 38,549,266,747.47/281,052.54
  6. Step 6: Final answer
    x = 137,160.36

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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.