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Finding the Fourth Proportional to 176,756, 243,882.86 and 100,256.82

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Solution

The fourth proportional to 176,756, 243,882.86 and 100,256.82 is: 138,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,756 : 243,882.86 = 100,256.82 : x
  2. Step 2: Convert to fraction form
    176,756/243,882.86 = 100,256.82/x
  3. Step 3: Cross multiply
    176,756x = 243,882.86 × 100,256.82
  4. Step 4: Simplify right side
    176,756x = 24,450,919,996.11
  5. Step 5: Solve for x
    x = 24,450,919,996.11/176,756
  6. Step 6: Final answer
    x = 138,331.49

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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.