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Finding the Fourth Proportional to 176,757, 243,884.24 and 100,257.84

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Solution

The fourth proportional to 176,757, 243,884.24 and 100,257.84 is: 138,332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,757 : 243,884.24 = 100,257.84 : x
  2. Step 2: Convert to fraction form
    176,757/243,884.24 = 100,257.84/x
  3. Step 3: Cross multiply
    176,757x = 243,884.24 × 100,257.84
  4. Step 4: Simplify right side
    176,757x = 24,451,307,112.44
  5. Step 5: Solve for x
    x = 24,451,307,112.44/176,757
  6. Step 6: Final answer
    x = 138,332.89

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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.