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Finding the Fourth Proportional to 227,828.48, 314,393.28 and 127,224.32

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Solution

The fourth proportional to 227,828.48, 314,393.28 and 127,224.32 is: 175,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,828.48 : 314,393.28 = 127,224.32 : x
  2. Step 2: Convert to fraction form
    227,828.48/314,393.28 = 127,224.32/x
  3. Step 3: Cross multiply
    227,828.48x = 314,393.28 × 127,224.32
  4. Step 4: Simplify right side
    227,828.48x = 39,998,471,260.57
  5. Step 5: Solve for x
    x = 39,998,471,260.57/227,828.48
  6. Step 6: Final answer
    x = 175,563.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.