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Finding the Fourth Proportional to 176,228.26, 243,195.26 and 100,778.38

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Solution

The fourth proportional to 176,228.26, 243,195.26 and 100,778.38 is: 139,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,228.26 : 243,195.26 = 100,778.38 : x
  2. Step 2: Convert to fraction form
    176,228.26/243,195.26 = 100,778.38/x
  3. Step 3: Cross multiply
    176,228.26x = 243,195.26 × 100,778.38
  4. Step 4: Simplify right side
    176,228.26x = 24,508,824,326.48
  5. Step 5: Solve for x
    x = 24,508,824,326.48/176,228.26
  6. Step 6: Final answer
    x = 139,074.31

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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.