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Finding the Fourth Proportional to 136,826.67, 188,821.38 and 76,393.78

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Solution

The fourth proportional to 136,826.67, 188,821.38 and 76,393.78 is: 105,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,826.67 : 188,821.38 = 76,393.78 : x
  2. Step 2: Convert to fraction form
    136,826.67/188,821.38 = 76,393.78/x
  3. Step 3: Cross multiply
    136,826.67x = 188,821.38 × 76,393.78
  4. Step 4: Simplify right side
    136,826.67x = 14,424,778,963.02
  5. Step 5: Solve for x
    x = 14,424,778,963.02/136,826.67
  6. Step 6: Final answer
    x = 105,423.74

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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.