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Finding the Fourth Proportional to 237,832.66, 328,219.32 and 142,320.97

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Solution

The fourth proportional to 237,832.66, 328,219.32 and 142,320.97 is: 196,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,832.66 : 328,219.32 = 142,320.97 : x
  2. Step 2: Convert to fraction form
    237,832.66/328,219.32 = 142,320.97/x
  3. Step 3: Cross multiply
    237,832.66x = 328,219.32 × 142,320.97
  4. Step 4: Simplify right side
    237,832.66x = 46,712,491,995.14
  5. Step 5: Solve for x
    x = 46,712,491,995.14/237,832.66
  6. Step 6: Final answer
    x = 196,409.07

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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.