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Finding the Fourth Proportional to 230,675.80, 346,062.30 and 72,920.20

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Solution

The fourth proportional to 230,675.80, 346,062.30 and 72,920.20 is: 109,395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,675.80 : 346,062.30 = 72,920.20 : x
  2. Step 2: Convert to fraction form
    230,675.80/346,062.30 = 72,920.20/x
  3. Step 3: Cross multiply
    230,675.80x = 346,062.30 × 72,920.20
  4. Step 4: Simplify right side
    230,675.80x = 25,234,932,128.46
  5. Step 5: Solve for x
    x = 25,234,932,128.46/230,675.80
  6. Step 6: Final answer
    x = 109,395.66

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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.