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Finding the Fourth Proportional to 235,084, 352,625.28 and 85,324.08

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Solution

The fourth proportional to 235,084, 352,625.28 and 85,324.08 is: 127,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,084 : 352,625.28 = 85,324.08 : x
  2. Step 2: Convert to fraction form
    235,084/352,625.28 = 85,324.08/x
  3. Step 3: Cross multiply
    235,084x = 352,625.28 × 85,324.08
  4. Step 4: Simplify right side
    235,084x = 30,087,427,600.74
  5. Step 5: Solve for x
    x = 30,087,427,600.74/235,084
  6. Step 6: Final answer
    x = 127,985.86

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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.