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Finding the Fourth Proportional to 185,171.64, 277,700.16 and 66,828

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Solution

The fourth proportional to 185,171.64, 277,700.16 and 66,828 is: 100,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,171.64 : 277,700.16 = 66,828 : x
  2. Step 2: Convert to fraction form
    185,171.64/277,700.16 = 66,828/x
  3. Step 3: Cross multiply
    185,171.64x = 277,700.16 × 66,828
  4. Step 4: Simplify right side
    185,171.64x = 18,558,146,292.48
  5. Step 5: Solve for x
    x = 18,558,146,292.48/185,171.64
  6. Step 6: Final answer
    x = 100,221.32

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