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Finding the Fourth Proportional to 229,754.70, 343,854.45 and 201,761.10

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Solution

The fourth proportional to 229,754.70, 343,854.45 and 201,761.10 is: 301,958.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,754.70 : 343,854.45 = 201,761.10 : x
  2. Step 2: Convert to fraction form
    229,754.70/343,854.45 = 201,761.10/x
  3. Step 3: Cross multiply
    229,754.70x = 343,854.45 × 201,761.10
  4. Step 4: Simplify right side
    229,754.70x = 69,376,452,071.90
  5. Step 5: Solve for x
    x = 69,376,452,071.90/229,754.70
  6. Step 6: Final answer
    x = 301,958.79

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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.