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Finding the Fourth Proportional to 148,840.50, 205,402.32 and 85,213.38

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Solution

The fourth proportional to 148,840.50, 205,402.32 and 85,213.38 is: 117,595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,840.50 : 205,402.32 = 85,213.38 : x
  2. Step 2: Convert to fraction form
    148,840.50/205,402.32 = 85,213.38/x
  3. Step 3: Cross multiply
    148,840.50x = 205,402.32 × 85,213.38
  4. Step 4: Simplify right side
    148,840.50x = 17,503,025,947.04
  5. Step 5: Solve for x
    x = 17,503,025,947.04/148,840.50
  6. Step 6: Final answer
    x = 117,595.86

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Why These Related Problems?

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