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Finding the Fourth Proportional to 343,898.70, 516,036.33 and 133,544.94

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Solution

The fourth proportional to 343,898.70, 516,036.33 and 133,544.94 is: 200,390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,898.70 : 516,036.33 = 133,544.94 : x
  2. Step 2: Convert to fraction form
    343,898.70/516,036.33 = 133,544.94/x
  3. Step 3: Cross multiply
    343,898.70x = 516,036.33 × 133,544.94
  4. Step 4: Simplify right side
    343,898.70x = 68,914,040,727.67
  5. Step 5: Solve for x
    x = 68,914,040,727.67/343,898.70
  6. Step 6: Final answer
    x = 200,390.52

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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.