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Finding the Fourth Proportional to 206,320.32, 284,713.92 and 116,896.32

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Solution

The fourth proportional to 206,320.32, 284,713.92 and 116,896.32 is: 161,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,320.32 : 284,713.92 = 116,896.32 : x
  2. Step 2: Convert to fraction form
    206,320.32/284,713.92 = 116,896.32/x
  3. Step 3: Cross multiply
    206,320.32x = 284,713.92 × 116,896.32
  4. Step 4: Simplify right side
    206,320.32x = 33,282,009,500.77
  5. Step 5: Solve for x
    x = 33,282,009,500.77/206,320.32
  6. Step 6: Final answer
    x = 161,312.32

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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.