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Finding the Fourth Proportional to 177,750.50, 266,724.16 and 106,498.04

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Solution

The fourth proportional to 177,750.50, 266,724.16 and 106,498.04 is: 159,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,750.50 : 266,724.16 = 106,498.04 : x
  2. Step 2: Convert to fraction form
    177,750.50/266,724.16 = 106,498.04/x
  3. Step 3: Cross multiply
    177,750.50x = 266,724.16 × 106,498.04
  4. Step 4: Simplify right side
    177,750.50x = 28,405,600,260.65
  5. Step 5: Solve for x
    x = 28,405,600,260.65/177,750.50
  6. Step 6: Final answer
    x = 159,806.02

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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.