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Finding the Fourth Proportional to 233,065.89, 321,655.62 and 142,474.88

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Solution

The fourth proportional to 233,065.89, 321,655.62 and 142,474.88 is: 196,630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,065.89 : 321,655.62 = 142,474.88 : x
  2. Step 2: Convert to fraction form
    233,065.89/321,655.62 = 142,474.88/x
  3. Step 3: Cross multiply
    233,065.89x = 321,655.62 × 142,474.88
  4. Step 4: Simplify right side
    233,065.89x = 45,827,847,199.25
  5. Step 5: Solve for x
    x = 45,827,847,199.25/233,065.89
  6. Step 6: Final answer
    x = 196,630.43

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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.