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Finding the Fourth Proportional to 105,967.94, 146,232.81 and 58,221.27

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Solution

The fourth proportional to 105,967.94, 146,232.81 and 58,221.27 is: 80,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,967.94 : 146,232.81 = 58,221.27 : x
  2. Step 2: Convert to fraction form
    105,967.94/146,232.81 = 58,221.27/x
  3. Step 3: Cross multiply
    105,967.94x = 146,232.81 × 58,221.27
  4. Step 4: Simplify right side
    105,967.94x = 8,513,859,913.87
  5. Step 5: Solve for x
    x = 8,513,859,913.87/105,967.94
  6. Step 6: Final answer
    x = 80,343.74

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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.