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Finding the Fourth Proportional to 276,061.80, 414,141.30 and 98,671.80

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Solution

The fourth proportional to 276,061.80, 414,141.30 and 98,671.80 is: 148,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,061.80 : 414,141.30 = 98,671.80 : x
  2. Step 2: Convert to fraction form
    276,061.80/414,141.30 = 98,671.80/x
  3. Step 3: Cross multiply
    276,061.80x = 414,141.30 × 98,671.80
  4. Step 4: Simplify right side
    276,061.80x = 40,864,067,525.34
  5. Step 5: Solve for x
    x = 40,864,067,525.34/276,061.80
  6. Step 6: Final answer
    x = 148,025.07

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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.