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Finding the Fourth Proportional to 276,610.74, 414,959.88 and 99,113.82

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Solution

The fourth proportional to 276,610.74, 414,959.88 and 99,113.82 is: 148,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,610.74 : 414,959.88 = 99,113.82 : x
  2. Step 2: Convert to fraction form
    276,610.74/414,959.88 = 99,113.82/x
  3. Step 3: Cross multiply
    276,610.74x = 414,959.88 × 99,113.82
  4. Step 4: Simplify right side
    276,610.74x = 41,128,258,853.54
  5. Step 5: Solve for x
    x = 41,128,258,853.54/276,610.74
  6. Step 6: Final answer
    x = 148,686.41

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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.