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Finding the Fourth Proportional to 344,011.68, 516,050.10 and 133,665.84

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Solution

The fourth proportional to 344,011.68, 516,050.10 and 133,665.84 is: 200,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,011.68 : 516,050.10 = 133,665.84 : x
  2. Step 2: Convert to fraction form
    344,011.68/516,050.10 = 133,665.84/x
  3. Step 3: Cross multiply
    344,011.68x = 516,050.10 × 133,665.84
  4. Step 4: Simplify right side
    344,011.68x = 68,978,270,098.58
  5. Step 5: Solve for x
    x = 68,978,270,098.58/344,011.68
  6. Step 6: Final answer
    x = 200,511.42

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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.