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Finding the Fourth Proportional to 153,952.20, 230,813.10 and 83,910.60

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Solution

The fourth proportional to 153,952.20, 230,813.10 and 83,910.60 is: 125,803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,952.20 : 230,813.10 = 83,910.60 : x
  2. Step 2: Convert to fraction form
    153,952.20/230,813.10 = 83,910.60/x
  3. Step 3: Cross multiply
    153,952.20x = 230,813.10 × 83,910.60
  4. Step 4: Simplify right side
    153,952.20x = 19,367,665,708.86
  5. Step 5: Solve for x
    x = 19,367,665,708.86/153,952.20
  6. Step 6: Final answer
    x = 125,803.11

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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.