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Finding the Fourth Proportional to 233,217.39, 321,782.91 and 131,223

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Solution

The fourth proportional to 233,217.39, 321,782.91 and 131,223 is: 181,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,217.39 : 321,782.91 = 131,223 : x
  2. Step 2: Convert to fraction form
    233,217.39/321,782.91 = 131,223/x
  3. Step 3: Cross multiply
    233,217.39x = 321,782.91 × 131,223
  4. Step 4: Simplify right side
    233,217.39x = 42,225,318,798.93
  5. Step 5: Solve for x
    x = 42,225,318,798.93/233,217.39
  6. Step 6: Final answer
    x = 181,055.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.