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Finding the Fourth Proportional to 106,019.97, 159,056.01 and 52,737.09

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Solution

The fourth proportional to 106,019.97, 159,056.01 and 52,737.09 is: 79,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,019.97 : 159,056.01 = 52,737.09 : x
  2. Step 2: Convert to fraction form
    106,019.97/159,056.01 = 52,737.09/x
  3. Step 3: Cross multiply
    106,019.97x = 159,056.01 × 52,737.09
  4. Step 4: Simplify right side
    106,019.97x = 8,388,151,114.41
  5. Step 5: Solve for x
    x = 8,388,151,114.41/106,019.97
  6. Step 6: Final answer
    x = 79,118.60

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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.