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Finding the Fourth Proportional to 238,425.41, 357,566.76 and 78,471.81

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Solution

The fourth proportional to 238,425.41, 357,566.76 and 78,471.81 is: 117,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,425.41 : 357,566.76 = 78,471.81 : x
  2. Step 2: Convert to fraction form
    238,425.41/357,566.76 = 78,471.81/x
  3. Step 3: Cross multiply
    238,425.41x = 357,566.76 × 78,471.81
  4. Step 4: Simplify right side
    238,425.41x = 28,058,910,853.04
  5. Step 5: Solve for x
    x = 28,058,910,853.04/238,425.41
  6. Step 6: Final answer
    x = 117,684.23

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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.