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Finding the Fourth Proportional to 225,076.40, 310,979.76 and 177,692.48

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Solution

The fourth proportional to 225,076.40, 310,979.76 and 177,692.48 is: 245,511.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,076.40 : 310,979.76 = 177,692.48 : x
  2. Step 2: Convert to fraction form
    225,076.40/310,979.76 = 177,692.48/x
  3. Step 3: Cross multiply
    225,076.40x = 310,979.76 × 177,692.48
  4. Step 4: Simplify right side
    225,076.40x = 55,258,764,784.20
  5. Step 5: Solve for x
    x = 55,258,764,784.20/225,076.40
  6. Step 6: Final answer
    x = 245,511.15

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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.