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Finding the Fourth Proportional to 106,178.47, 159,267.71 and 27,292.77

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Solution

The fourth proportional to 106,178.47, 159,267.71 and 27,292.77 is: 40,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,178.47 : 159,267.71 = 27,292.77 : x
  2. Step 2: Convert to fraction form
    106,178.47/159,267.71 = 27,292.77/x
  3. Step 3: Cross multiply
    106,178.47x = 159,267.71 × 27,292.77
  4. Step 4: Simplify right side
    106,178.47x = 4,346,857,045.69
  5. Step 5: Solve for x
    x = 4,346,857,045.69/106,178.47
  6. Step 6: Final answer
    x = 40,939.16

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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.