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Finding the Fourth Proportional to 276,549.14, 414,959.26 and 99,069.86

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Solution

The fourth proportional to 276,549.14, 414,959.26 and 99,069.86 is: 148,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,549.14 : 414,959.26 = 99,069.86 : x
  2. Step 2: Convert to fraction form
    276,549.14/414,959.26 = 99,069.86/x
  3. Step 3: Cross multiply
    276,549.14x = 414,959.26 × 99,069.86
  4. Step 4: Simplify right side
    276,549.14x = 41,109,955,793.90
  5. Step 5: Solve for x
    x = 41,109,955,793.90/276,549.14
  6. Step 6: Final answer
    x = 148,653.35

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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.