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Finding the Fourth Proportional to 148,921.38, 205,512 and 85,259.70

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Solution

The fourth proportional to 148,921.38, 205,512 and 85,259.70 is: 117,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,921.38 : 205,512 = 85,259.70 : x
  2. Step 2: Convert to fraction form
    148,921.38/205,512 = 85,259.70/x
  3. Step 3: Cross multiply
    148,921.38x = 205,512 × 85,259.70
  4. Step 4: Simplify right side
    148,921.38x = 17,521,891,466.40
  5. Step 5: Solve for x
    x = 17,521,891,466.40/148,921.38
  6. Step 6: Final answer
    x = 117,658.67

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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.