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Finding the Fourth Proportional to 123,085.39, 185,013.51 and 81,234.46

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Solution

The fourth proportional to 123,085.39, 185,013.51 and 81,234.46 is: 122,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,085.39 : 185,013.51 = 81,234.46 : x
  2. Step 2: Convert to fraction form
    123,085.39/185,013.51 = 81,234.46/x
  3. Step 3: Cross multiply
    123,085.39x = 185,013.51 × 81,234.46
  4. Step 4: Simplify right side
    123,085.39x = 15,029,472,577.55
  5. Step 5: Solve for x
    x = 15,029,472,577.55/123,085.39
  6. Step 6: Final answer
    x = 122,106.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.