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Finding the Fourth Proportional to 100,281.65, 150,445.76 and 29,205.97

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Solution

The fourth proportional to 100,281.65, 150,445.76 and 29,205.97 is: 43,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,281.65 : 150,445.76 = 29,205.97 : x
  2. Step 2: Convert to fraction form
    100,281.65/150,445.76 = 29,205.97/x
  3. Step 3: Cross multiply
    100,281.65x = 150,445.76 × 29,205.97
  4. Step 4: Simplify right side
    100,281.65x = 4,393,913,831.04
  5. Step 5: Solve for x
    x = 4,393,913,831.04/100,281.65
  6. Step 6: Final answer
    x = 43,815.73

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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.