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Finding the Fourth Proportional to 243,543.38, 335,972.61 and 152,854.56

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Solution

The fourth proportional to 243,543.38, 335,972.61 and 152,854.56 is: 210,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,543.38 : 335,972.61 = 152,854.56 : x
  2. Step 2: Convert to fraction form
    243,543.38/335,972.61 = 152,854.56/x
  3. Step 3: Cross multiply
    243,543.38x = 335,972.61 × 152,854.56
  4. Step 4: Simplify right side
    243,543.38x = 51,354,945,473.60
  5. Step 5: Solve for x
    x = 51,354,945,473.60/243,543.38
  6. Step 6: Final answer
    x = 210,865.71

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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.