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Finding the Fourth Proportional to 233,367.91, 322,054.23 and 142,722.25

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Solution

The fourth proportional to 233,367.91, 322,054.23 and 142,722.25 is: 196,960.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,367.91 : 322,054.23 = 142,722.25 : x
  2. Step 2: Convert to fraction form
    233,367.91/322,054.23 = 142,722.25/x
  3. Step 3: Cross multiply
    233,367.91x = 322,054.23 × 142,722.25
  4. Step 4: Simplify right side
    233,367.91x = 45,964,304,327.62
  5. Step 5: Solve for x
    x = 45,964,304,327.62/233,367.91
  6. Step 6: Final answer
    x = 196,960.69

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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.