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Finding the Fourth Proportional to 265,833.25, 398,915.87 and 177,148.98

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Solution

The fourth proportional to 265,833.25, 398,915.87 and 177,148.98 is: 265,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,833.25 : 398,915.87 = 177,148.98 : x
  2. Step 2: Convert to fraction form
    265,833.25/398,915.87 = 177,148.98/x
  3. Step 3: Cross multiply
    265,833.25x = 398,915.87 × 177,148.98
  4. Step 4: Simplify right side
    265,833.25x = 70,667,538,590.57
  5. Step 5: Solve for x
    x = 70,667,538,590.57/265,833.25
  6. Step 6: Final answer
    x = 265,834.09

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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.