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Finding the Fourth Proportional to 211,691.66, 292,137.81 and 116,207.06

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Solution

The fourth proportional to 211,691.66, 292,137.81 and 116,207.06 is: 160,367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,691.66 : 292,137.81 = 116,207.06 : x
  2. Step 2: Convert to fraction form
    211,691.66/292,137.81 = 116,207.06/x
  3. Step 3: Cross multiply
    211,691.66x = 292,137.81 × 116,207.06
  4. Step 4: Simplify right side
    211,691.66x = 33,948,476,745.28
  5. Step 5: Solve for x
    x = 33,948,476,745.28/211,691.66
  6. Step 6: Final answer
    x = 160,367.57

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1.5x scale

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.