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Finding the Fourth Proportional to 290,071.71, 400,292.75 and 161,002.67

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Solution

The fourth proportional to 290,071.71, 400,292.75 and 161,002.67 is: 222,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,071.71 : 400,292.75 = 161,002.67 : x
  2. Step 2: Convert to fraction form
    290,071.71/400,292.75 = 161,002.67/x
  3. Step 3: Cross multiply
    290,071.71x = 400,292.75 × 161,002.67
  4. Step 4: Simplify right side
    290,071.71x = 64,448,198,725.17
  5. Step 5: Solve for x
    x = 64,448,198,725.17/290,071.71
  6. Step 6: Final answer
    x = 222,180.23

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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.