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Finding the Fourth Proportional to 97,146.79, 134,064.47 and 58,896.97

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Solution

The fourth proportional to 97,146.79, 134,064.47 and 58,896.97 is: 81,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,146.79 : 134,064.47 = 58,896.97 : x
  2. Step 2: Convert to fraction form
    97,146.79/134,064.47 = 58,896.97/x
  3. Step 3: Cross multiply
    97,146.79x = 134,064.47 × 58,896.97
  4. Step 4: Simplify right side
    97,146.79x = 7,895,991,067.66
  5. Step 5: Solve for x
    x = 7,895,991,067.66/97,146.79
  6. Step 6: Final answer
    x = 81,278.97

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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.