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Finding the Fourth Proportional to 253,101.54, 349,266.42 and 139,917

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Solution

The fourth proportional to 253,101.54, 349,266.42 and 139,917 is: 193,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,101.54 : 349,266.42 = 139,917 : x
  2. Step 2: Convert to fraction form
    253,101.54/349,266.42 = 139,917/x
  3. Step 3: Cross multiply
    253,101.54x = 349,266.42 × 139,917
  4. Step 4: Simplify right side
    253,101.54x = 48,868,309,687.14
  5. Step 5: Solve for x
    x = 48,868,309,687.14/253,101.54
  6. Step 6: Final answer
    x = 193,077.88

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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.