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Finding the Fourth Proportional to 312,092.12, 468,027.47 and 112,358.88

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Solution

The fourth proportional to 312,092.12, 468,027.47 and 112,358.88 is: 168,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,092.12 : 468,027.47 = 112,358.88 : x
  2. Step 2: Convert to fraction form
    312,092.12/468,027.47 = 112,358.88/x
  3. Step 3: Cross multiply
    312,092.12x = 468,027.47 × 112,358.88
  4. Step 4: Simplify right side
    312,092.12x = 52,587,042,619.33
  5. Step 5: Solve for x
    x = 52,587,042,619.33/312,092.12
  6. Step 6: Final answer
    x = 168,498.46

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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.