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Finding the Fourth Proportional to 130,195.38, 179,661.11 and 72,824.74

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Solution

The fourth proportional to 130,195.38, 179,661.11 and 72,824.74 is: 100,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,195.38 : 179,661.11 = 72,824.74 : x
  2. Step 2: Convert to fraction form
    130,195.38/179,661.11 = 72,824.74/x
  3. Step 3: Cross multiply
    130,195.38x = 179,661.11 × 72,824.74
  4. Step 4: Simplify right side
    130,195.38x = 13,083,773,623.86
  5. Step 5: Solve for x
    x = 13,083,773,623.86/130,195.38
  6. Step 6: Final answer
    x = 100,493.38

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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.