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Finding the Fourth Proportional to 111,705.96, 167,318.34 and 52,452.84

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Solution

The fourth proportional to 111,705.96, 167,318.34 and 52,452.84 is: 78,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,705.96 : 167,318.34 = 52,452.84 : x
  2. Step 2: Convert to fraction form
    111,705.96/167,318.34 = 52,452.84/x
  3. Step 3: Cross multiply
    111,705.96x = 167,318.34 × 52,452.84
  4. Step 4: Simplify right side
    111,705.96x = 8,776,322,117.09
  5. Step 5: Solve for x
    x = 8,776,322,117.09/111,705.96
  6. Step 6: Final answer
    x = 78,566.28

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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.