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Finding the Fourth Proportional to 144,646.70, 217,002.45 and 55,892.30

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Solution

The fourth proportional to 144,646.70, 217,002.45 and 55,892.30 is: 83,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,646.70 : 217,002.45 = 55,892.30 : x
  2. Step 2: Convert to fraction form
    144,646.70/217,002.45 = 55,892.30/x
  3. Step 3: Cross multiply
    144,646.70x = 217,002.45 × 55,892.30
  4. Step 4: Simplify right side
    144,646.70x = 12,128,766,036.14
  5. Step 5: Solve for x
    x = 12,128,766,036.14/144,646.70
  6. Step 6: Final answer
    x = 83,850.97

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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.