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Finding the Fourth Proportional to 123,678.40, 185,566.20 and 48,785.80

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Solution

The fourth proportional to 123,678.40, 185,566.20 and 48,785.80 is: 73,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,678.40 : 185,566.20 = 48,785.80 : x
  2. Step 2: Convert to fraction form
    123,678.40/185,566.20 = 48,785.80/x
  3. Step 3: Cross multiply
    123,678.40x = 185,566.20 × 48,785.80
  4. Step 4: Simplify right side
    123,678.40x = 9,052,995,519.96
  5. Step 5: Solve for x
    x = 9,052,995,519.96/123,678.40
  6. Step 6: Final answer
    x = 73,197.87

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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.