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Finding the Fourth Proportional to 232,520.85, 320,882.09 and 130,568.40

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Solution

The fourth proportional to 232,520.85, 320,882.09 and 130,568.40 is: 180,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,520.85 : 320,882.09 = 130,568.40 : x
  2. Step 2: Convert to fraction form
    232,520.85/320,882.09 = 130,568.40/x
  3. Step 3: Cross multiply
    232,520.85x = 320,882.09 × 130,568.40
  4. Step 4: Simplify right side
    232,520.85x = 41,897,060,427.11
  5. Step 5: Solve for x
    x = 41,897,060,427.11/232,520.85
  6. Step 6: Final answer
    x = 180,186.25

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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.