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Finding the Fourth Proportional to 227,827.48, 314,391.90 and 127,223.32

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Solution

The fourth proportional to 227,827.48, 314,391.90 and 127,223.32 is: 175,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,827.48 : 314,391.90 = 127,223.32 : x
  2. Step 2: Convert to fraction form
    227,827.48/314,391.90 = 127,223.32/x
  3. Step 3: Cross multiply
    227,827.48x = 314,391.90 × 127,223.32
  4. Step 4: Simplify right side
    227,827.48x = 39,997,981,299.11
  5. Step 5: Solve for x
    x = 39,997,981,299.11/227,827.48
  6. Step 6: Final answer
    x = 175,562.58

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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.