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Finding the Fourth Proportional to 186,959.40, 280,439.10 and 177,117.90

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Solution

The fourth proportional to 186,959.40, 280,439.10 and 177,117.90 is: 265,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,959.40 : 280,439.10 = 177,117.90 : x
  2. Step 2: Convert to fraction form
    186,959.40/280,439.10 = 177,117.90/x
  3. Step 3: Cross multiply
    186,959.40x = 280,439.10 × 177,117.90
  4. Step 4: Simplify right side
    186,959.40x = 49,670,784,469.89
  5. Step 5: Solve for x
    x = 49,670,784,469.89/186,959.40
  6. Step 6: Final answer
    x = 265,676.85

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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.