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Finding the Fourth Proportional to 265,863.14, 398,661.45 and 88,307.90

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Solution

The fourth proportional to 265,863.14, 398,661.45 and 88,307.90 is: 132,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,863.14 : 398,661.45 = 88,307.90 : x
  2. Step 2: Convert to fraction form
    265,863.14/398,661.45 = 88,307.90/x
  3. Step 3: Cross multiply
    265,863.14x = 398,661.45 × 88,307.90
  4. Step 4: Simplify right side
    265,863.14x = 35,204,955,460.46
  5. Step 5: Solve for x
    x = 35,204,955,460.46/265,863.14
  6. Step 6: Final answer
    x = 132,417.59

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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.