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Finding the Fourth Proportional to 230,982.80, 346,451.52 and 156,580.88

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Solution

The fourth proportional to 230,982.80, 346,451.52 and 156,580.88 is: 234,855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,982.80 : 346,451.52 = 156,580.88 : x
  2. Step 2: Convert to fraction form
    230,982.80/346,451.52 = 156,580.88/x
  3. Step 3: Cross multiply
    230,982.80x = 346,451.52 × 156,580.88
  4. Step 4: Simplify right side
    230,982.80x = 54,247,683,878.94
  5. Step 5: Solve for x
    x = 54,247,683,878.94/230,982.80
  6. Step 6: Final answer
    x = 234,855.95

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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.