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Finding the Fourth Proportional to 204,482.80, 282,189.18 and 113,842.72

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Solution

The fourth proportional to 204,482.80, 282,189.18 and 113,842.72 is: 157,104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,482.80 : 282,189.18 = 113,842.72 : x
  2. Step 2: Convert to fraction form
    204,482.80/282,189.18 = 113,842.72/x
  3. Step 3: Cross multiply
    204,482.80x = 282,189.18 × 113,842.72
  4. Step 4: Simplify right side
    204,482.80x = 32,125,183,805.77
  5. Step 5: Solve for x
    x = 32,125,183,805.77/204,482.80
  6. Step 6: Final answer
    x = 157,104.58

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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.