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Finding the Fourth Proportional to 204,599.52, 282,348.18 and 119,700.18

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Solution

The fourth proportional to 204,599.52, 282,348.18 and 119,700.18 is: 165,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,599.52 : 282,348.18 = 119,700.18 : x
  2. Step 2: Convert to fraction form
    204,599.52/282,348.18 = 119,700.18/x
  3. Step 3: Cross multiply
    204,599.52x = 282,348.18 × 119,700.18
  4. Step 4: Simplify right side
    204,599.52x = 33,797,127,968.67
  5. Step 5: Solve for x
    x = 33,797,127,968.67/204,599.52
  6. Step 6: Final answer
    x = 165,186.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.