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Finding the Fourth Proportional to 265,301.97, 397,702.80 and 132,056.25

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Solution

The fourth proportional to 265,301.97, 397,702.80 and 132,056.25 is: 197,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,301.97 : 397,702.80 = 132,056.25 : x
  2. Step 2: Convert to fraction form
    265,301.97/397,702.80 = 132,056.25/x
  3. Step 3: Cross multiply
    265,301.97x = 397,702.80 × 132,056.25
  4. Step 4: Simplify right side
    265,301.97x = 52,519,140,382.50
  5. Step 5: Solve for x
    x = 52,519,140,382.50/265,301.97
  6. Step 6: Final answer
    x = 197,959.86

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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.