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Finding the Fourth Proportional to 233,616.49, 322,384.01 and 131,640.12

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Solution

The fourth proportional to 233,616.49, 322,384.01 and 131,640.12 is: 181,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,616.49 : 322,384.01 = 131,640.12 : x
  2. Step 2: Convert to fraction form
    233,616.49/322,384.01 = 131,640.12/x
  3. Step 3: Cross multiply
    233,616.49x = 322,384.01 × 131,640.12
  4. Step 4: Simplify right side
    233,616.49x = 42,438,669,104.28
  5. Step 5: Solve for x
    x = 42,438,669,104.28/233,616.49
  6. Step 6: Final answer
    x = 181,659.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.