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Finding the Fourth Proportional to 277,632.56, 416,456.88 and 88,093.76

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Solution

The fourth proportional to 277,632.56, 416,456.88 and 88,093.76 is: 132,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,632.56 : 416,456.88 = 88,093.76 : x
  2. Step 2: Convert to fraction form
    277,632.56/416,456.88 = 88,093.76/x
  3. Step 3: Cross multiply
    277,632.56x = 416,456.88 × 88,093.76
  4. Step 4: Simplify right side
    277,632.56x = 36,687,252,437.07
  5. Step 5: Solve for x
    x = 36,687,252,437.07/277,632.56
  6. Step 6: Final answer
    x = 132,143.19

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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.