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Finding the Fourth Proportional to 106,992.83, 160,252.69 and 73,178.70

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Solution

The fourth proportional to 106,992.83, 160,252.69 and 73,178.70 is: 109,606.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,992.83 : 160,252.69 = 73,178.70 : x
  2. Step 2: Convert to fraction form
    106,992.83/160,252.69 = 73,178.70/x
  3. Step 3: Cross multiply
    106,992.83x = 160,252.69 × 73,178.70
  4. Step 4: Simplify right side
    106,992.83x = 11,727,083,159.81
  5. Step 5: Solve for x
    x = 11,727,083,159.81/106,992.83
  6. Step 6: Final answer
    x = 109,606.26

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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.