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Finding the Fourth Proportional to 120,674.35, 181,040.78 and 36,429.48

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Solution

The fourth proportional to 120,674.35, 181,040.78 and 36,429.48 is: 54,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,674.35 : 181,040.78 = 36,429.48 : x
  2. Step 2: Convert to fraction form
    120,674.35/181,040.78 = 36,429.48/x
  3. Step 3: Cross multiply
    120,674.35x = 181,040.78 × 36,429.48
  4. Step 4: Simplify right side
    120,674.35x = 6,595,221,565.27
  5. Step 5: Solve for x
    x = 6,595,221,565.27/120,674.35
  6. Step 6: Final answer
    x = 54,653.05

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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.