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Finding the Fourth Proportional to 272,555.76, 408,847.78 and 83,001.48

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Solution

The fourth proportional to 272,555.76, 408,847.78 and 83,001.48 is: 124,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,555.76 : 408,847.78 = 83,001.48 : x
  2. Step 2: Convert to fraction form
    272,555.76/408,847.78 = 83,001.48/x
  3. Step 3: Cross multiply
    272,555.76x = 408,847.78 × 83,001.48
  4. Step 4: Simplify right side
    272,555.76x = 33,934,970,834.71
  5. Step 5: Solve for x
    x = 33,934,970,834.71/272,555.76
  6. Step 6: Final answer
    x = 124,506.53

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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.