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Finding the Fourth Proportional to 233,361.66, 322,045.59 and 142,716

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Solution

The fourth proportional to 233,361.66, 322,045.59 and 142,716 is: 196,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,361.66 : 322,045.59 = 142,716 : x
  2. Step 2: Convert to fraction form
    233,361.66/322,045.59 = 142,716/x
  3. Step 3: Cross multiply
    233,361.66x = 322,045.59 × 142,716
  4. Step 4: Simplify right side
    233,361.66x = 45,961,058,422.44
  5. Step 5: Solve for x
    x = 45,961,058,422.44/233,361.66
  6. Step 6: Final answer
    x = 196,952.05

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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.