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Finding the Fourth Proportional to 148,859.68, 205,426.38 and 85,197.50

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Solution

The fourth proportional to 148,859.68, 205,426.38 and 85,197.50 is: 117,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,859.68 : 205,426.38 = 85,197.50 : x
  2. Step 2: Convert to fraction form
    148,859.68/205,426.38 = 85,197.50/x
  3. Step 3: Cross multiply
    148,859.68x = 205,426.38 × 85,197.50
  4. Step 4: Simplify right side
    148,859.68x = 17,501,814,010.05
  5. Step 5: Solve for x
    x = 17,501,814,010.05/148,859.68
  6. Step 6: Final answer
    x = 117,572.56

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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.