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Finding the Fourth Proportional to 276,218.42, 414,415.20 and 98,721.50

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Solution

The fourth proportional to 276,218.42, 414,415.20 and 98,721.50 is: 148,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,218.42 : 414,415.20 = 98,721.50 : x
  2. Step 2: Convert to fraction form
    276,218.42/414,415.20 = 98,721.50/x
  3. Step 3: Cross multiply
    276,218.42x = 414,415.20 × 98,721.50
  4. Step 4: Simplify right side
    276,218.42x = 40,911,690,166.80
  5. Step 5: Solve for x
    x = 40,911,690,166.80/276,218.42
  6. Step 6: Final answer
    x = 148,113.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.