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Finding the Fourth Proportional to 138,864.24, 208,296.72 and 33,683.04

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Solution

The fourth proportional to 138,864.24, 208,296.72 and 33,683.04 is: 50,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,864.24 : 208,296.72 = 33,683.04 : x
  2. Step 2: Convert to fraction form
    138,864.24/208,296.72 = 33,683.04/x
  3. Step 3: Cross multiply
    138,864.24x = 208,296.72 × 33,683.04
  4. Step 4: Simplify right side
    138,864.24x = 7,016,066,751.63
  5. Step 5: Solve for x
    x = 7,016,066,751.63/138,864.24
  6. Step 6: Final answer
    x = 50,524.65

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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.