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Finding the Fourth Proportional to 232,656.94, 321,059.56 and 129,290.78

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Solution

The fourth proportional to 232,656.94, 321,059.56 and 129,290.78 is: 178,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,656.94 : 321,059.56 = 129,290.78 : x
  2. Step 2: Convert to fraction form
    232,656.94/321,059.56 = 129,290.78/x
  3. Step 3: Cross multiply
    232,656.94x = 321,059.56 × 129,290.78
  4. Step 4: Simplify right side
    232,656.94x = 41,510,040,938.86
  5. Step 5: Solve for x
    x = 41,510,040,938.86/232,656.94
  6. Step 6: Final answer
    x = 178,417.38

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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.