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Finding the Fourth Proportional to 106,558.93, 159,838.80 and 67,017.97

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Solution

The fourth proportional to 106,558.93, 159,838.80 and 67,017.97 is: 100,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,558.93 : 159,838.80 = 67,017.97 : x
  2. Step 2: Convert to fraction form
    106,558.93/159,838.80 = 67,017.97/x
  3. Step 3: Cross multiply
    106,558.93x = 159,838.80 × 67,017.97
  4. Step 4: Simplify right side
    106,558.93x = 10,712,071,903.24
  5. Step 5: Solve for x
    x = 10,712,071,903.24/106,558.93
  6. Step 6: Final answer
    x = 100,527.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.