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Finding the Fourth Proportional to 232,901.07, 321,403.86 and 130,932.24

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Solution

The fourth proportional to 232,901.07, 321,403.86 and 130,932.24 is: 180,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,901.07 : 321,403.86 = 130,932.24 : x
  2. Step 2: Convert to fraction form
    232,901.07/321,403.86 = 130,932.24/x
  3. Step 3: Cross multiply
    232,901.07x = 321,403.86 × 130,932.24
  4. Step 4: Simplify right side
    232,901.07x = 42,082,127,334.45
  5. Step 5: Solve for x
    x = 42,082,127,334.45/232,901.07
  6. Step 6: Final answer
    x = 180,686.71

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