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Finding the Fourth Proportional to 277,902.68, 416,810.46 and 88,338.20

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Solution

The fourth proportional to 277,902.68, 416,810.46 and 88,338.20 is: 132,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,902.68 : 416,810.46 = 88,338.20 : x
  2. Step 2: Convert to fraction form
    277,902.68/416,810.46 = 88,338.20/x
  3. Step 3: Cross multiply
    277,902.68x = 416,810.46 × 88,338.20
  4. Step 4: Simplify right side
    277,902.68x = 36,820,285,777.57
  5. Step 5: Solve for x
    x = 36,820,285,777.57/277,902.68
  6. Step 6: Final answer
    x = 132,493.45

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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.