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Finding the Fourth Proportional to 153,251.40, 229,877.10 and 82,392.60

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Solution

The fourth proportional to 153,251.40, 229,877.10 and 82,392.60 is: 123,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,251.40 : 229,877.10 = 82,392.60 : x
  2. Step 2: Convert to fraction form
    153,251.40/229,877.10 = 82,392.60/x
  3. Step 3: Cross multiply
    153,251.40x = 229,877.10 × 82,392.60
  4. Step 4: Simplify right side
    153,251.40x = 18,940,171,949.46
  5. Step 5: Solve for x
    x = 18,940,171,949.46/153,251.40
  6. Step 6: Final answer
    x = 123,588.90

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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.