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Finding the Fourth Proportional to 286,164.11, 394,911.11 and 157,114.49

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Solution

The fourth proportional to 286,164.11, 394,911.11 and 157,114.49 is: 216,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,164.11 : 394,911.11 = 157,114.49 : x
  2. Step 2: Convert to fraction form
    286,164.11/394,911.11 = 157,114.49/x
  3. Step 3: Cross multiply
    286,164.11x = 394,911.11 × 157,114.49
  4. Step 4: Simplify right side
    286,164.11x = 62,046,256,061.21
  5. Step 5: Solve for x
    x = 62,046,256,061.21/286,164.11
  6. Step 6: Final answer
    x = 216,820.54

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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.