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Finding the Fourth Proportional to 238,470.96, 357,761.76 and 69,984.48

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Solution

The fourth proportional to 238,470.96, 357,761.76 and 69,984.48 is: 104,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,470.96 : 357,761.76 = 69,984.48 : x
  2. Step 2: Convert to fraction form
    238,470.96/357,761.76 = 69,984.48/x
  3. Step 3: Cross multiply
    238,470.96x = 357,761.76 × 69,984.48
  4. Step 4: Simplify right side
    238,470.96x = 25,037,770,737.48
  5. Step 5: Solve for x
    x = 25,037,770,737.48/238,470.96
  6. Step 6: Final answer
    x = 104,992.95

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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.