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Finding the Fourth Proportional to 204,034.60, 306,051.90 and 144,548.20

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Solution

The fourth proportional to 204,034.60, 306,051.90 and 144,548.20 is: 216,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,034.60 : 306,051.90 = 144,548.20 : x
  2. Step 2: Convert to fraction form
    204,034.60/306,051.90 = 144,548.20/x
  3. Step 3: Cross multiply
    204,034.60x = 306,051.90 × 144,548.20
  4. Step 4: Simplify right side
    204,034.60x = 44,239,251,251.58
  5. Step 5: Solve for x
    x = 44,239,251,251.58/204,034.60
  6. Step 6: Final answer
    x = 216,822.30

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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.