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Finding the Fourth Proportional to 211,876, 292,388.88 and 116,384.29

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Solution

The fourth proportional to 211,876, 292,388.88 and 116,384.29 is: 160,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,876 : 292,388.88 = 116,384.29 : x
  2. Step 2: Convert to fraction form
    211,876/292,388.88 = 116,384.29/x
  3. Step 3: Cross multiply
    211,876x = 292,388.88 × 116,384.29
  4. Step 4: Simplify right side
    211,876x = 34,029,472,202.70
  5. Step 5: Solve for x
    x = 34,029,472,202.70/211,876
  6. Step 6: Final answer
    x = 160,610.32

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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.