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Finding the Fourth Proportional to 233,691, 322,493.58 and 126,261.06

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Solution

The fourth proportional to 233,691, 322,493.58 and 126,261.06 is: 174,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,691 : 322,493.58 = 126,261.06 : x
  2. Step 2: Convert to fraction form
    233,691/322,493.58 = 126,261.06/x
  3. Step 3: Cross multiply
    233,691x = 322,493.58 × 126,261.06
  4. Step 4: Simplify right side
    233,691x = 40,718,381,253.99
  5. Step 5: Solve for x
    x = 40,718,381,253.99/233,691
  6. Step 6: Final answer
    x = 174,240.26

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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.