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Finding the Fourth Proportional to 344,135.68, 516,203.53 and 133,822.82

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Solution

The fourth proportional to 344,135.68, 516,203.53 and 133,822.82 is: 200,734.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,135.68 : 516,203.53 = 133,822.82 : x
  2. Step 2: Convert to fraction form
    344,135.68/516,203.53 = 133,822.82/x
  3. Step 3: Cross multiply
    344,135.68x = 516,203.53 × 133,822.82
  4. Step 4: Simplify right side
    344,135.68x = 69,079,813,034.51
  5. Step 5: Solve for x
    x = 69,079,813,034.51/344,135.68
  6. Step 6: Final answer
    x = 200,734.24

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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.