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Finding the Fourth Proportional to 144,885.60, 217,036.80 and 82,483.20

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Solution

The fourth proportional to 144,885.60, 217,036.80 and 82,483.20 is: 123,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,885.60 : 217,036.80 = 82,483.20 : x
  2. Step 2: Convert to fraction form
    144,885.60/217,036.80 = 82,483.20/x
  3. Step 3: Cross multiply
    144,885.60x = 217,036.80 × 82,483.20
  4. Step 4: Simplify right side
    144,885.60x = 17,901,889,781.76
  5. Step 5: Solve for x
    x = 17,901,889,781.76/144,885.60
  6. Step 6: Final answer
    x = 123,558.79

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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.