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Finding the Fourth Proportional to 232,218.78, 320,465.58 and 130,266.90

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Solution

The fourth proportional to 232,218.78, 320,465.58 and 130,266.90 is: 179,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,218.78 : 320,465.58 = 130,266.90 : x
  2. Step 2: Convert to fraction form
    232,218.78/320,465.58 = 130,266.90/x
  3. Step 3: Cross multiply
    232,218.78x = 320,465.58 × 130,266.90
  4. Step 4: Simplify right side
    232,218.78x = 41,746,057,663.30
  5. Step 5: Solve for x
    x = 41,746,057,663.30/232,218.78
  6. Step 6: Final answer
    x = 179,770.38

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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.