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Finding the Fourth Proportional to 105,076.42, 145,058.97 and 81,149.38

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Solution

The fourth proportional to 105,076.42, 145,058.97 and 81,149.38 is: 112,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,076.42 : 145,058.97 = 81,149.38 : x
  2. Step 2: Convert to fraction form
    105,076.42/145,058.97 = 81,149.38/x
  3. Step 3: Cross multiply
    105,076.42x = 145,058.97 × 81,149.38
  4. Step 4: Simplify right side
    105,076.42x = 11,771,445,478.94
  5. Step 5: Solve for x
    x = 11,771,445,478.94/105,076.42
  6. Step 6: Final answer
    x = 112,027.47

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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.