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Finding the Fourth Proportional to 195,876, 270,308.88 and 116,388

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Solution

The fourth proportional to 195,876, 270,308.88 and 116,388 is: 160,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,876 : 270,308.88 = 116,388 : x
  2. Step 2: Convert to fraction form
    195,876/270,308.88 = 116,388/x
  3. Step 3: Cross multiply
    195,876x = 270,308.88 × 116,388
  4. Step 4: Simplify right side
    195,876x = 31,460,709,925.44
  5. Step 5: Solve for x
    x = 31,460,709,925.44/195,876
  6. Step 6: Final answer
    x = 160,615.44

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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.