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Finding the Fourth Proportional to 232,921.44, 321,413.88 and 130,930.68

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Solution

The fourth proportional to 232,921.44, 321,413.88 and 130,930.68 is: 180,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,921.44 : 321,413.88 = 130,930.68 : x
  2. Step 2: Convert to fraction form
    232,921.44/321,413.88 = 130,930.68/x
  3. Step 3: Cross multiply
    232,921.44x = 321,413.88 × 130,930.68
  4. Step 4: Simplify right side
    232,921.44x = 42,082,937,869.84
  5. Step 5: Solve for x
    x = 42,082,937,869.84/232,921.44
  6. Step 6: Final answer
    x = 180,674.38

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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.