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Finding the Fourth Proportional to 102,163.92, 153,244.34 and 45,964.34

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Solution

The fourth proportional to 102,163.92, 153,244.34 and 45,964.34 is: 68,945.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,163.92 : 153,244.34 = 45,964.34 : x
  2. Step 2: Convert to fraction form
    102,163.92/153,244.34 = 45,964.34/x
  3. Step 3: Cross multiply
    102,163.92x = 153,244.34 × 45,964.34
  4. Step 4: Simplify right side
    102,163.92x = 7,043,775,753.74
  5. Step 5: Solve for x
    x = 7,043,775,753.74/102,163.92
  6. Step 6: Final answer
    x = 68,945.82

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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.