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Finding the Fourth Proportional to 106,356.24, 146,769.70 and 57,958.59

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Solution

The fourth proportional to 106,356.24, 146,769.70 and 57,958.59 is: 79,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,356.24 : 146,769.70 = 57,958.59 : x
  2. Step 2: Convert to fraction form
    106,356.24/146,769.70 = 57,958.59/x
  3. Step 3: Cross multiply
    106,356.24x = 146,769.70 × 57,958.59
  4. Step 4: Simplify right side
    106,356.24x = 8,506,564,866.72
  5. Step 5: Solve for x
    x = 8,506,564,866.72/106,356.24
  6. Step 6: Final answer
    x = 79,981.81

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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.