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Finding the Fourth Proportional to 344,133.62, 516,200.43 and 133,820.76

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Solution

The fourth proportional to 344,133.62, 516,200.43 and 133,820.76 is: 200,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,133.62 : 516,200.43 = 133,820.76 : x
  2. Step 2: Convert to fraction form
    344,133.62/516,200.43 = 133,820.76/x
  3. Step 3: Cross multiply
    344,133.62x = 516,200.43 × 133,820.76
  4. Step 4: Simplify right side
    344,133.62x = 69,078,333,185.82
  5. Step 5: Solve for x
    x = 69,078,333,185.82/344,133.62
  6. Step 6: Final answer
    x = 200,731.14

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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.