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Finding the Fourth Proportional to 233,908.84, 322,797.60 and 131,939.16

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Solution

The fourth proportional to 233,908.84, 322,797.60 and 131,939.16 is: 182,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,908.84 : 322,797.60 = 131,939.16 : x
  2. Step 2: Convert to fraction form
    233,908.84/322,797.60 = 131,939.16/x
  3. Step 3: Cross multiply
    233,908.84x = 322,797.60 × 131,939.16
  4. Step 4: Simplify right side
    233,908.84x = 42,589,644,194.02
  5. Step 5: Solve for x
    x = 42,589,644,194.02/233,908.84
  6. Step 6: Final answer
    x = 182,077.96

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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.