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Finding the Fourth Proportional to 122,082.49, 182,292.73 and 107,731.22

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Solution

The fourth proportional to 122,082.49, 182,292.73 and 107,731.22 is: 160,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,082.49 : 182,292.73 = 107,731.22 : x
  2. Step 2: Convert to fraction form
    122,082.49/182,292.73 = 107,731.22/x
  3. Step 3: Cross multiply
    122,082.49x = 182,292.73 × 107,731.22
  4. Step 4: Simplify right side
    122,082.49x = 19,638,617,019.24
  5. Step 5: Solve for x
    x = 19,638,617,019.24/122,082.49
  6. Step 6: Final answer
    x = 160,863.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.