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Finding the Fourth Proportional to 166,649.60, 230,083.84 and 148,713.76

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Solution

The fourth proportional to 166,649.60, 230,083.84 and 148,713.76 is: 205,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,649.60 : 230,083.84 = 148,713.76 : x
  2. Step 2: Convert to fraction form
    166,649.60/230,083.84 = 148,713.76/x
  3. Step 3: Cross multiply
    166,649.60x = 230,083.84 × 148,713.76
  4. Step 4: Simplify right side
    166,649.60x = 34,216,632,961.64
  5. Step 5: Solve for x
    x = 34,216,632,961.64/166,649.60
  6. Step 6: Final answer
    x = 205,320.82

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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.