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Finding the Fourth Proportional to 202,097.08, 278,872.50 and 111,447.10

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Solution

The fourth proportional to 202,097.08, 278,872.50 and 111,447.10 is: 153,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,097.08 : 278,872.50 = 111,447.10 : x
  2. Step 2: Convert to fraction form
    202,097.08/278,872.50 = 111,447.10/x
  3. Step 3: Cross multiply
    202,097.08x = 278,872.50 × 111,447.10
  4. Step 4: Simplify right side
    202,097.08x = 31,079,531,394.75
  5. Step 5: Solve for x
    x = 31,079,531,394.75/202,097.08
  6. Step 6: Final answer
    x = 153,785.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.