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Finding the Fourth Proportional to 201,967.46, 278,702.41 and 111,318.44

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Solution

The fourth proportional to 201,967.46, 278,702.41 and 111,318.44 is: 153,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,967.46 : 278,702.41 = 111,318.44 : x
  2. Step 2: Convert to fraction form
    201,967.46/278,702.41 = 111,318.44/x
  3. Step 3: Cross multiply
    201,967.46x = 278,702.41 × 111,318.44
  4. Step 4: Simplify right side
    201,967.46x = 31,024,717,505.44
  5. Step 5: Solve for x
    x = 31,024,717,505.44/201,967.46
  6. Step 6: Final answer
    x = 153,612.46

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Why These Related Problems?

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