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Finding the Fourth Proportional to 203,594.55, 280,962.17 and 112,956.46

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Solution

The fourth proportional to 203,594.55, 280,962.17 and 112,956.46 is: 155,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,594.55 : 280,962.17 = 112,956.46 : x
  2. Step 2: Convert to fraction form
    203,594.55/280,962.17 = 112,956.46/x
  3. Step 3: Cross multiply
    203,594.55x = 280,962.17 × 112,956.46
  4. Step 4: Simplify right side
    203,594.55x = 31,736,491,273.52
  5. Step 5: Solve for x
    x = 31,736,491,273.52/203,594.55
  6. Step 6: Final answer
    x = 155,880.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.