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Finding the Fourth Proportional to 146,013.89, 201,542.25 and 85,597.61

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Solution

The fourth proportional to 146,013.89, 201,542.25 and 85,597.61 is: 118,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,013.89 : 201,542.25 = 85,597.61 : x
  2. Step 2: Convert to fraction form
    146,013.89/201,542.25 = 85,597.61/x
  3. Step 3: Cross multiply
    146,013.89x = 201,542.25 × 85,597.61
  4. Step 4: Simplify right side
    146,013.89x = 17,251,533,906.31
  5. Step 5: Solve for x
    x = 17,251,533,906.31/146,013.89
  6. Step 6: Final answer
    x = 118,149.95

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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.