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Finding the Fourth Proportional to 187,082.81, 258,174.52 and 106,510.33

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Solution

The fourth proportional to 187,082.81, 258,174.52 and 106,510.33 is: 146,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,082.81 : 258,174.52 = 106,510.33 : x
  2. Step 2: Convert to fraction form
    187,082.81/258,174.52 = 106,510.33/x
  3. Step 3: Cross multiply
    187,082.81x = 258,174.52 × 106,510.33
  4. Step 4: Simplify right side
    187,082.81x = 27,498,253,322.79
  5. Step 5: Solve for x
    x = 27,498,253,322.79/187,082.81
  6. Step 6: Final answer
    x = 146,984.39

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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.