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Finding the Fourth Proportional to 233,872.49, 322,744.82 and 126,443.29

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Solution

The fourth proportional to 233,872.49, 322,744.82 and 126,443.29 is: 174,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,872.49 : 322,744.82 = 126,443.29 : x
  2. Step 2: Convert to fraction form
    233,872.49/322,744.82 = 126,443.29/x
  3. Step 3: Cross multiply
    233,872.49x = 322,744.82 × 126,443.29
  4. Step 4: Simplify right side
    233,872.49x = 40,808,916,871.26
  5. Step 5: Solve for x
    x = 40,808,916,871.26/233,872.49
  6. Step 6: Final answer
    x = 174,492.16

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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.