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Finding the Fourth Proportional to 195,600, 269,933.76 and 106,181.76

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Solution

The fourth proportional to 195,600, 269,933.76 and 106,181.76 is: 146,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,600 : 269,933.76 = 106,181.76 : x
  2. Step 2: Convert to fraction form
    195,600/269,933.76 = 106,181.76/x
  3. Step 3: Cross multiply
    195,600x = 269,933.76 × 106,181.76
  4. Step 4: Simplify right side
    195,600x = 28,662,041,720.22
  5. Step 5: Solve for x
    x = 28,662,041,720.22/195,600
  6. Step 6: Final answer
    x = 146,533.96

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1.5x scale

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.