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Finding the Fourth Proportional to 238,426.41, 357,568.26 and 78,472.81

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Solution

The fourth proportional to 238,426.41, 357,568.26 and 78,472.81 is: 117,685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,426.41 : 357,568.26 = 78,472.81 : x
  2. Step 2: Convert to fraction form
    238,426.41/357,568.26 = 78,472.81/x
  3. Step 3: Cross multiply
    238,426.41x = 357,568.26 × 78,472.81
  4. Step 4: Simplify right side
    238,426.41x = 28,059,386,129.01
  5. Step 5: Solve for x
    x = 28,059,386,129.01/238,426.41
  6. Step 6: Final answer
    x = 117,685.73

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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.