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Finding the Fourth Proportional to 224,027.46, 335,968.16 and 81,840.06

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Solution

The fourth proportional to 224,027.46, 335,968.16 and 81,840.06 is: 122,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,027.46 : 335,968.16 = 81,840.06 : x
  2. Step 2: Convert to fraction form
    224,027.46/335,968.16 = 81,840.06/x
  3. Step 3: Cross multiply
    224,027.46x = 335,968.16 × 81,840.06
  4. Step 4: Simplify right side
    224,027.46x = 27,495,653,963.29
  5. Step 5: Solve for x
    x = 27,495,653,963.29/224,027.46
  6. Step 6: Final answer
    x = 122,733.41

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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.