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Finding the Fourth Proportional to 144,921.60, 217,113.60 and 82,406.40

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Solution

The fourth proportional to 144,921.60, 217,113.60 and 82,406.40 is: 123,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,921.60 : 217,113.60 = 82,406.40 : x
  2. Step 2: Convert to fraction form
    144,921.60/217,113.60 = 82,406.40/x
  3. Step 3: Cross multiply
    144,921.60x = 217,113.60 × 82,406.40
  4. Step 4: Simplify right side
    144,921.60x = 17,891,550,167.04
  5. Step 5: Solve for x
    x = 17,891,550,167.04/144,921.60
  6. Step 6: Final answer
    x = 123,456.75

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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.