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Finding the Fourth Proportional to 164,771.32, 246,807 and 111,496

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Solution

The fourth proportional to 164,771.32, 246,807 and 111,496 is: 167,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,771.32 : 246,807 = 111,496 : x
  2. Step 2: Convert to fraction form
    164,771.32/246,807 = 111,496/x
  3. Step 3: Cross multiply
    164,771.32x = 246,807 × 111,496
  4. Step 4: Simplify right side
    164,771.32x = 27,517,993,272
  5. Step 5: Solve for x
    x = 27,517,993,272/164,771.32
  6. Step 6: Final answer
    x = 167,007.18

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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.