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Finding the Fourth Proportional to 233,366.36, 322,040.20 and 142,723.32

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Solution

The fourth proportional to 233,366.36, 322,040.20 and 142,723.32 is: 196,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,366.36 : 322,040.20 = 142,723.32 : x
  2. Step 2: Convert to fraction form
    233,366.36/322,040.20 = 142,723.32/x
  3. Step 3: Cross multiply
    233,366.36x = 322,040.20 × 142,723.32
  4. Step 4: Simplify right side
    233,366.36x = 45,962,646,517.46
  5. Step 5: Solve for x
    x = 45,962,646,517.46/233,366.36
  6. Step 6: Final answer
    x = 196,954.89

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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.