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Finding the Fourth Proportional to 276,335.75, 414,503.73 and 98,832.15

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Solution

The fourth proportional to 276,335.75, 414,503.73 and 98,832.15 is: 148,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,335.75 : 414,503.73 = 98,832.15 : x
  2. Step 2: Convert to fraction form
    276,335.75/414,503.73 = 98,832.15/x
  3. Step 3: Cross multiply
    276,335.75x = 414,503.73 × 98,832.15
  4. Step 4: Simplify right side
    276,335.75x = 40,966,294,818.92
  5. Step 5: Solve for x
    x = 40,966,294,818.92/276,335.75
  6. Step 6: Final answer
    x = 148,248.26

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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.