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Finding the Fourth Proportional to 204,358.58, 282,018.72 and 113,718.38

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Solution

The fourth proportional to 204,358.58, 282,018.72 and 113,718.38 is: 156,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,358.58 : 282,018.72 = 113,718.38 : x
  2. Step 2: Convert to fraction form
    204,358.58/282,018.72 = 113,718.38/x
  3. Step 3: Cross multiply
    204,358.58x = 282,018.72 × 113,718.38
  4. Step 4: Simplify right side
    204,358.58x = 32,070,711,968.07
  5. Step 5: Solve for x
    x = 32,070,711,968.07/204,358.58
  6. Step 6: Final answer
    x = 156,933.52

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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.