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Finding the Fourth Proportional to 276,547.92, 414,882.36 and 89,578.32

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Solution

The fourth proportional to 276,547.92, 414,882.36 and 89,578.32 is: 134,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,547.92 : 414,882.36 = 89,578.32 : x
  2. Step 2: Convert to fraction form
    276,547.92/414,882.36 = 89,578.32/x
  3. Step 3: Cross multiply
    276,547.92x = 414,882.36 × 89,578.32
  4. Step 4: Simplify right side
    276,547.92x = 37,164,464,806.44
  5. Step 5: Solve for x
    x = 37,164,464,806.44/276,547.92
  6. Step 6: Final answer
    x = 134,387.07

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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.