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Finding the Fourth Proportional to 202,084.44, 278,870.52 and 111,440.40

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Solution

The fourth proportional to 202,084.44, 278,870.52 and 111,440.40 is: 153,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,084.44 : 278,870.52 = 111,440.40 : x
  2. Step 2: Convert to fraction form
    202,084.44/278,870.52 = 111,440.40/x
  3. Step 3: Cross multiply
    202,084.44x = 278,870.52 × 111,440.40
  4. Step 4: Simplify right side
    202,084.44x = 31,077,442,297.01
  5. Step 5: Solve for x
    x = 31,077,442,297.01/202,084.44
  6. Step 6: Final answer
    x = 153,784.44

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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.