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Finding the Fourth Proportional to 232,057.08, 320,210.10 and 141,380.14

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Solution

The fourth proportional to 232,057.08, 320,210.10 and 141,380.14 is: 195,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,057.08 : 320,210.10 = 141,380.14 : x
  2. Step 2: Convert to fraction form
    232,057.08/320,210.10 = 141,380.14/x
  3. Step 3: Cross multiply
    232,057.08x = 320,210.10 × 141,380.14
  4. Step 4: Simplify right side
    232,057.08x = 45,271,348,767.41
  5. Step 5: Solve for x
    x = 45,271,348,767.41/232,057.08
  6. Step 6: Final answer
    x = 195,087.13

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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.