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Finding the Fourth Proportional to 111,237.24, 166,739.16 and 52,023

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Solution

The fourth proportional to 111,237.24, 166,739.16 and 52,023 is: 77,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,237.24 : 166,739.16 = 52,023 : x
  2. Step 2: Convert to fraction form
    111,237.24/166,739.16 = 52,023/x
  3. Step 3: Cross multiply
    111,237.24x = 166,739.16 × 52,023
  4. Step 4: Simplify right side
    111,237.24x = 8,674,271,320.68
  5. Step 5: Solve for x
    x = 8,674,271,320.68/111,237.24
  6. Step 6: Final answer
    x = 77,979.92

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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.