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Finding the Fourth Proportional to 106,368.48, 146,786.51 and 57,970.81

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Solution

The fourth proportional to 106,368.48, 146,786.51 and 57,970.81 is: 79,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,368.48 : 146,786.51 = 57,970.81 : x
  2. Step 2: Convert to fraction form
    106,368.48/146,786.51 = 57,970.81/x
  3. Step 3: Cross multiply
    106,368.48x = 146,786.51 × 57,970.81
  4. Step 4: Simplify right side
    106,368.48x = 8,509,332,659.73
  5. Step 5: Solve for x
    x = 8,509,332,659.73/106,368.48
  6. Step 6: Final answer
    x = 79,998.63

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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.