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Finding the Fourth Proportional to 225,141.44, 310,664.76 and 128,357.78

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Solution

The fourth proportional to 225,141.44, 310,664.76 and 128,357.78 is: 177,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,141.44 : 310,664.76 = 128,357.78 : x
  2. Step 2: Convert to fraction form
    225,141.44/310,664.76 = 128,357.78/x
  3. Step 3: Cross multiply
    225,141.44x = 310,664.76 × 128,357.78
  4. Step 4: Simplify right side
    225,141.44x = 39,876,238,917.83
  5. Step 5: Solve for x
    x = 39,876,238,917.83/225,141.44
  6. Step 6: Final answer
    x = 177,116.39

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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.