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Finding the Fourth Proportional to 232,215.78, 320,461.44 and 130,263.90

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Solution

The fourth proportional to 232,215.78, 320,461.44 and 130,263.90 is: 179,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,215.78 : 320,461.44 = 130,263.90 : x
  2. Step 2: Convert to fraction form
    232,215.78/320,461.44 = 130,263.90/x
  3. Step 3: Cross multiply
    232,215.78x = 320,461.44 × 130,263.90
  4. Step 4: Simplify right side
    232,215.78x = 41,744,556,974.02
  5. Step 5: Solve for x
    x = 41,744,556,974.02/232,215.78
  6. Step 6: Final answer
    x = 179,766.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.