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Finding the Fourth Proportional to 164,972.32, 247,108.26 and 111,697

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Solution

The fourth proportional to 164,972.32, 247,108.26 and 111,697 is: 167,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,972.32 : 247,108.26 = 111,697 : x
  2. Step 2: Convert to fraction form
    164,972.32/247,108.26 = 111,697/x
  3. Step 3: Cross multiply
    164,972.32x = 247,108.26 × 111,697
  4. Step 4: Simplify right side
    164,972.32x = 27,601,251,317.22
  5. Step 5: Solve for x
    x = 27,601,251,317.22/164,972.32
  6. Step 6: Final answer
    x = 167,308.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.