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Finding the Fourth Proportional to 251,902.36, 347,628.54 and 138,733.48

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Solution

The fourth proportional to 251,902.36, 347,628.54 and 138,733.48 is: 191,454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,902.36 : 347,628.54 = 138,733.48 : x
  2. Step 2: Convert to fraction form
    251,902.36/347,628.54 = 138,733.48/x
  3. Step 3: Cross multiply
    251,902.36x = 347,628.54 × 138,733.48
  4. Step 4: Simplify right side
    251,902.36x = 48,227,717,101.52
  5. Step 5: Solve for x
    x = 48,227,717,101.52/251,902.36
  6. Step 6: Final answer
    x = 191,454.01

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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.