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Finding the Fourth Proportional to 204,498.71, 282,207.58 and 113,852.33

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Solution

The fourth proportional to 204,498.71, 282,207.58 and 113,852.33 is: 157,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,498.71 : 282,207.58 = 113,852.33 : x
  2. Step 2: Convert to fraction form
    204,498.71/282,207.58 = 113,852.33/x
  3. Step 3: Cross multiply
    204,498.71x = 282,207.58 × 113,852.33
  4. Step 4: Simplify right side
    204,498.71x = 32,129,990,526.66
  5. Step 5: Solve for x
    x = 32,129,990,526.66/204,498.71
  6. Step 6: Final answer
    x = 157,115.86

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