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Finding the Fourth Proportional to 277,502.88, 416,254.33 and 67,140.81

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Solution

The fourth proportional to 277,502.88, 416,254.33 and 67,140.81 is: 100,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,502.88 : 416,254.33 = 67,140.81 : x
  2. Step 2: Convert to fraction form
    277,502.88/416,254.33 = 67,140.81/x
  3. Step 3: Cross multiply
    277,502.88x = 416,254.33 × 67,140.81
  4. Step 4: Simplify right side
    277,502.88x = 27,947,654,115.60
  5. Step 5: Solve for x
    x = 27,947,654,115.60/277,502.88
  6. Step 6: Final answer
    x = 100,711.22

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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.