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Finding the Fourth Proportional to 130,023.23, 179,311.97 and 99,809.82

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Solution

The fourth proportional to 130,023.23, 179,311.97 and 99,809.82 is: 137,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,023.23 : 179,311.97 = 99,809.82 : x
  2. Step 2: Convert to fraction form
    130,023.23/179,311.97 = 99,809.82/x
  3. Step 3: Cross multiply
    130,023.23x = 179,311.97 × 99,809.82
  4. Step 4: Simplify right side
    130,023.23x = 17,897,096,371.49
  5. Step 5: Solve for x
    x = 17,897,096,371.49/130,023.23
  6. Step 6: Final answer
    x = 137,645.38

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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.