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Finding the Fourth Proportional to 233,997.12, 322,896.24 and 138,486.96

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Solution

The fourth proportional to 233,997.12, 322,896.24 and 138,486.96 is: 191,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,997.12 : 322,896.24 = 138,486.96 : x
  2. Step 2: Convert to fraction form
    233,997.12/322,896.24 = 138,486.96/x
  3. Step 3: Cross multiply
    233,997.12x = 322,896.24 × 138,486.96
  4. Step 4: Simplify right side
    233,997.12x = 44,716,918,673.03
  5. Step 5: Solve for x
    x = 44,716,918,673.03/233,997.12
  6. Step 6: Final answer
    x = 191,100.30

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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.