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Finding the Fourth Proportional to 233,287.50, 321,965.10 and 131,351.16

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Solution

The fourth proportional to 233,287.50, 321,965.10 and 131,351.16 is: 181,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,287.50 : 321,965.10 = 131,351.16 : x
  2. Step 2: Convert to fraction form
    233,287.50/321,965.10 = 131,351.16/x
  3. Step 3: Cross multiply
    233,287.50x = 321,965.10 × 131,351.16
  4. Step 4: Simplify right side
    233,287.50x = 42,290,489,364.52
  5. Step 5: Solve for x
    x = 42,290,489,364.52/233,287.50
  6. Step 6: Final answer
    x = 181,280.56

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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.