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Finding the Fourth Proportional to 144,024, 198,721.20 and 83,559.57

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Solution

The fourth proportional to 144,024, 198,721.20 and 83,559.57 is: 115,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,024 : 198,721.20 = 83,559.57 : x
  2. Step 2: Convert to fraction form
    144,024/198,721.20 = 83,559.57/x
  3. Step 3: Cross multiply
    144,024x = 198,721.20 × 83,559.57
  4. Step 4: Simplify right side
    144,024x = 16,605,058,021.88
  5. Step 5: Solve for x
    x = 16,605,058,021.88/144,024
  6. Step 6: Final answer
    x = 115,293.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.