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Finding the Fourth Proportional to 292,022.70, 403,077.51 and 171,190.14

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Solution

The fourth proportional to 292,022.70, 403,077.51 and 171,190.14 is: 236,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,022.70 : 403,077.51 = 171,190.14 : x
  2. Step 2: Convert to fraction form
    292,022.70/403,077.51 = 171,190.14/x
  3. Step 3: Cross multiply
    292,022.70x = 403,077.51 × 171,190.14
  4. Step 4: Simplify right side
    292,022.70x = 69,002,895,367.75
  5. Step 5: Solve for x
    x = 69,002,895,367.75/292,022.70
  6. Step 6: Final answer
    x = 236,292.92

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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.