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Finding the Fourth Proportional to 149,108.92, 223,663.42 and 102,219.64

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Solution

The fourth proportional to 149,108.92, 223,663.42 and 102,219.64 is: 153,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,108.92 : 223,663.42 = 102,219.64 : x
  2. Step 2: Convert to fraction form
    149,108.92/223,663.42 = 102,219.64/x
  3. Step 3: Cross multiply
    149,108.92x = 223,663.42 × 102,219.64
  4. Step 4: Simplify right side
    149,108.92x = 22,862,794,273.57
  5. Step 5: Solve for x
    x = 22,862,794,273.57/149,108.92
  6. Step 6: Final answer
    x = 153,329.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.