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Finding the Fourth Proportional to 125,640.80, 188,461.20 and 32,141.60

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Solution

The fourth proportional to 125,640.80, 188,461.20 and 32,141.60 is: 48,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,640.80 : 188,461.20 = 32,141.60 : x
  2. Step 2: Convert to fraction form
    125,640.80/188,461.20 = 32,141.60/x
  3. Step 3: Cross multiply
    125,640.80x = 188,461.20 × 32,141.60
  4. Step 4: Simplify right side
    125,640.80x = 6,057,444,505.92
  5. Step 5: Solve for x
    x = 6,057,444,505.92/125,640.80
  6. Step 6: Final answer
    x = 48,212.40

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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.