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Finding the Fourth Proportional to 204,441.68, 282,081.32 and 171,859.99

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Solution

The fourth proportional to 204,441.68, 282,081.32 and 171,859.99 is: 237,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,441.68 : 282,081.32 = 171,859.99 : x
  2. Step 2: Convert to fraction form
    204,441.68/282,081.32 = 171,859.99/x
  3. Step 3: Cross multiply
    204,441.68x = 282,081.32 × 171,859.99
  4. Step 4: Simplify right side
    204,441.68x = 48,478,492,404.74
  5. Step 5: Solve for x
    x = 48,478,492,404.74/204,441.68
  6. Step 6: Final answer
    x = 237,126.27

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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.