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Finding the Fourth Proportional to 105,972.88, 146,177.67 and 62,923.13

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Solution

The fourth proportional to 105,972.88, 146,177.67 and 62,923.13 is: 86,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,972.88 : 146,177.67 = 62,923.13 : x
  2. Step 2: Convert to fraction form
    105,972.88/146,177.67 = 62,923.13/x
  3. Step 3: Cross multiply
    105,972.88x = 146,177.67 × 62,923.13
  4. Step 4: Simplify right side
    105,972.88x = 9,197,956,217.89
  5. Step 5: Solve for x
    x = 9,197,956,217.89/105,972.88
  6. Step 6: Final answer
    x = 86,795.38

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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.