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Finding the Fourth Proportional to 233,014.64, 321,594.72 and 142,422.80

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Solution

The fourth proportional to 233,014.64, 321,594.72 and 142,422.80 is: 196,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,014.64 : 321,594.72 = 142,422.80 : x
  2. Step 2: Convert to fraction form
    233,014.64/321,594.72 = 142,422.80/x
  3. Step 3: Cross multiply
    233,014.64x = 321,594.72 × 142,422.80
  4. Step 4: Simplify right side
    233,014.64x = 45,802,420,487.62
  5. Step 5: Solve for x
    x = 45,802,420,487.62/233,014.64
  6. Step 6: Final answer
    x = 196,564.56

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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.