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Finding the Fourth Proportional to 215,059.76, 322,655.24 and 109,952.56

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Solution

The fourth proportional to 215,059.76, 322,655.24 and 109,952.56 is: 164,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,059.76 : 322,655.24 = 109,952.56 : x
  2. Step 2: Convert to fraction form
    215,059.76/322,655.24 = 109,952.56/x
  3. Step 3: Cross multiply
    215,059.76x = 322,655.24 × 109,952.56
  4. Step 4: Simplify right side
    215,059.76x = 35,476,769,635.41
  5. Step 5: Solve for x
    x = 35,476,769,635.41/215,059.76
  6. Step 6: Final answer
    x = 164,962.38

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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.