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Finding the Fourth Proportional to 211,716.71, 292,167.81 and 114,922.49

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Solution

The fourth proportional to 211,716.71, 292,167.81 and 114,922.49 is: 158,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,716.71 : 292,167.81 = 114,922.49 : x
  2. Step 2: Convert to fraction form
    211,716.71/292,167.81 = 114,922.49/x
  3. Step 3: Cross multiply
    211,716.71x = 292,167.81 × 114,922.49
  4. Step 4: Simplify right side
    211,716.71x = 33,576,652,223.05
  5. Step 5: Solve for x
    x = 33,576,652,223.05/211,716.71
  6. Step 6: Final answer
    x = 158,592.36

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Why These Related Problems?

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