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Finding the Fourth Proportional to 265,734.40, 398,514.88 and 88,193.76

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Solution

The fourth proportional to 265,734.40, 398,514.88 and 88,193.76 is: 132,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,734.40 : 398,514.88 = 88,193.76 : x
  2. Step 2: Convert to fraction form
    265,734.40/398,514.88 = 88,193.76/x
  3. Step 3: Cross multiply
    265,734.40x = 398,514.88 × 88,193.76
  4. Step 4: Simplify right side
    265,734.40x = 35,146,525,683.15
  5. Step 5: Solve for x
    x = 35,146,525,683.15/265,734.40
  6. Step 6: Final answer
    x = 132,261.86

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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.