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Finding the Fourth Proportional to 222,105.06, 332,623.80 and 127,047.06

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Solution

The fourth proportional to 222,105.06, 332,623.80 and 127,047.06 is: 190,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,105.06 : 332,623.80 = 127,047.06 : x
  2. Step 2: Convert to fraction form
    222,105.06/332,623.80 = 127,047.06/x
  3. Step 3: Cross multiply
    222,105.06x = 332,623.80 × 127,047.06
  4. Step 4: Simplify right side
    222,105.06x = 42,258,875,876.03
  5. Step 5: Solve for x
    x = 42,258,875,876.03/222,105.06
  6. Step 6: Final answer
    x = 190,265.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.