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Finding the Fourth Proportional to 106,158.40, 159,192.24 and 36,005.92

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Solution

The fourth proportional to 106,158.40, 159,192.24 and 36,005.92 is: 53,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,158.40 : 159,192.24 = 36,005.92 : x
  2. Step 2: Convert to fraction form
    106,158.40/159,192.24 = 36,005.92/x
  3. Step 3: Cross multiply
    106,158.40x = 159,192.24 × 36,005.92
  4. Step 4: Simplify right side
    106,158.40x = 5,731,863,058.06
  5. Step 5: Solve for x
    x = 5,731,863,058.06/106,158.40
  6. Step 6: Final answer
    x = 53,993.50

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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.