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Finding the Fourth Proportional to 260,472.38, 359,337.87 and 152,994.02

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Solution

The fourth proportional to 260,472.38, 359,337.87 and 152,994.02 is: 211,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,472.38 : 359,337.87 = 152,994.02 : x
  2. Step 2: Convert to fraction form
    260,472.38/359,337.87 = 152,994.02/x
  3. Step 3: Cross multiply
    260,472.38x = 359,337.87 × 152,994.02
  4. Step 4: Simplify right side
    260,472.38x = 54,976,543,472.85
  5. Step 5: Solve for x
    x = 54,976,543,472.85/260,472.38
  6. Step 6: Final answer
    x = 211,064.78

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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.