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Finding the Fourth Proportional to 149,358.24, 206,000.55 and 101,530.98

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Solution

The fourth proportional to 149,358.24, 206,000.55 and 101,530.98 is: 140,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,358.24 : 206,000.55 = 101,530.98 : x
  2. Step 2: Convert to fraction form
    149,358.24/206,000.55 = 101,530.98/x
  3. Step 3: Cross multiply
    149,358.24x = 206,000.55 × 101,530.98
  4. Step 4: Simplify right side
    149,358.24x = 20,915,437,722.04
  5. Step 5: Solve for x
    x = 20,915,437,722.04/149,358.24
  6. Step 6: Final answer
    x = 140,035.38

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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.