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Finding the Fourth Proportional to 233,374.43, 322,063.20 and 142,728.75

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Solution

The fourth proportional to 233,374.43, 322,063.20 and 142,728.75 is: 196,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,374.43 : 322,063.20 = 142,728.75 : x
  2. Step 2: Convert to fraction form
    233,374.43/322,063.20 = 142,728.75/x
  3. Step 3: Cross multiply
    233,374.43x = 322,063.20 × 142,728.75
  4. Step 4: Simplify right side
    233,374.43x = 45,967,677,957
  5. Step 5: Solve for x
    x = 45,967,677,957/233,374.43
  6. Step 6: Final answer
    x = 196,969.64

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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.