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Finding the Fourth Proportional to 128,145.60, 192,218.40 and 120,764.48

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Solution

The fourth proportional to 128,145.60, 192,218.40 and 120,764.48 is: 181,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,145.60 : 192,218.40 = 120,764.48 : x
  2. Step 2: Convert to fraction form
    128,145.60/192,218.40 = 120,764.48/x
  3. Step 3: Cross multiply
    128,145.60x = 192,218.40 × 120,764.48
  4. Step 4: Simplify right side
    128,145.60x = 23,213,154,161.34
  5. Step 5: Solve for x
    x = 23,213,154,161.34/128,145.60
  6. Step 6: Final answer
    x = 181,146.71

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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.