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Finding the Fourth Proportional to 147,204.51, 203,141.64 and 82,664.79

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Solution

The fourth proportional to 147,204.51, 203,141.64 and 82,664.79 is: 114,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,204.51 : 203,141.64 = 82,664.79 : x
  2. Step 2: Convert to fraction form
    147,204.51/203,141.64 = 82,664.79/x
  3. Step 3: Cross multiply
    147,204.51x = 203,141.64 × 82,664.79
  4. Step 4: Simplify right side
    147,204.51x = 16,792,661,010.86
  5. Step 5: Solve for x
    x = 16,792,661,010.86/147,204.51
  6. Step 6: Final answer
    x = 114,077.08

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Why These Related Problems?

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