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Finding the Fourth Proportional to 186,680.94, 280,114.82 and 85,478.78

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Solution

The fourth proportional to 186,680.94, 280,114.82 and 85,478.78 is: 128,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,680.94 : 280,114.82 = 85,478.78 : x
  2. Step 2: Convert to fraction form
    186,680.94/280,114.82 = 85,478.78/x
  3. Step 3: Cross multiply
    186,680.94x = 280,114.82 × 85,478.78
  4. Step 4: Simplify right side
    186,680.94x = 23,943,873,073.52
  5. Step 5: Solve for x
    x = 23,943,873,073.52/186,680.94
  6. Step 6: Final answer
    x = 128,260.94

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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.