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Finding the Fourth Proportional to 232,195.32, 320,464.57 and 141,603.84

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Solution

The fourth proportional to 232,195.32, 320,464.57 and 141,603.84 is: 195,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,195.32 : 320,464.57 = 141,603.84 : x
  2. Step 2: Convert to fraction form
    232,195.32/320,464.57 = 141,603.84/x
  3. Step 3: Cross multiply
    232,195.32x = 320,464.57 × 141,603.84
  4. Step 4: Simplify right side
    232,195.32x = 45,379,011,385.61
  5. Step 5: Solve for x
    x = 45,379,011,385.61/232,195.32
  6. Step 6: Final answer
    x = 195,434.65

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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.