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Finding the Fourth Proportional to 111,586.16, 167,403.72 and 52,422.32

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Solution

The fourth proportional to 111,586.16, 167,403.72 and 52,422.32 is: 78,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,586.16 : 167,403.72 = 52,422.32 : x
  2. Step 2: Convert to fraction form
    111,586.16/167,403.72 = 52,422.32/x
  3. Step 3: Cross multiply
    111,586.16x = 167,403.72 × 52,422.32
  4. Step 4: Simplify right side
    111,586.16x = 8,775,691,379.03
  5. Step 5: Solve for x
    x = 8,775,691,379.03/111,586.16
  6. Step 6: Final answer
    x = 78,644.98

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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.