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Finding the Fourth Proportional to 110,952, 166,208.09 and 51,706.17

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Solution

The fourth proportional to 110,952, 166,208.09 and 51,706.17 is: 77,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,952 : 166,208.09 = 51,706.17 : x
  2. Step 2: Convert to fraction form
    110,952/166,208.09 = 51,706.17/x
  3. Step 3: Cross multiply
    110,952x = 166,208.09 × 51,706.17
  4. Step 4: Simplify right side
    110,952x = 8,593,983,498.38
  5. Step 5: Solve for x
    x = 8,593,983,498.38/110,952
  6. Step 6: Final answer
    x = 77,456.77

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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.