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Finding the Fourth Proportional to 118,234.20, 177,437.70 and 83,242.20

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Solution

The fourth proportional to 118,234.20, 177,437.70 and 83,242.20 is: 124,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,234.20 : 177,437.70 = 83,242.20 : x
  2. Step 2: Convert to fraction form
    118,234.20/177,437.70 = 83,242.20/x
  3. Step 3: Cross multiply
    118,234.20x = 177,437.70 × 83,242.20
  4. Step 4: Simplify right side
    118,234.20x = 14,770,304,510.94
  5. Step 5: Solve for x
    x = 14,770,304,510.94/118,234.20
  6. Step 6: Final answer
    x = 124,924.13

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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.