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Finding the Fourth Proportional to 276,098.32, 414,167.28 and 73,693.36

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Solution

The fourth proportional to 276,098.32, 414,167.28 and 73,693.36 is: 110,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,098.32 : 414,167.28 = 73,693.36 : x
  2. Step 2: Convert to fraction form
    276,098.32/414,167.28 = 73,693.36/x
  3. Step 3: Cross multiply
    276,098.32x = 414,167.28 × 73,693.36
  4. Step 4: Simplify right side
    276,098.32x = 30,521,378,465.26
  5. Step 5: Solve for x
    x = 30,521,378,465.26/276,098.32
  6. Step 6: Final answer
    x = 110,545.32

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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.