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Finding the Fourth Proportional to 276,583.01, 414,612.07 and 98,998.61

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Solution

The fourth proportional to 276,583.01, 414,612.07 and 98,998.61 is: 148,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,583.01 : 414,612.07 = 98,998.61 : x
  2. Step 2: Convert to fraction form
    276,583.01/414,612.07 = 98,998.61/x
  3. Step 3: Cross multiply
    276,583.01x = 414,612.07 × 98,998.61
  4. Step 4: Simplify right side
    276,583.01x = 41,046,016,298.67
  5. Step 5: Solve for x
    x = 41,046,016,298.67/276,583.01
  6. Step 6: Final answer
    x = 148,403.97

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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.