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Finding the Fourth Proportional to 142,853.40, 214,774.20 and 133,603.20

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Solution

The fourth proportional to 142,853.40, 214,774.20 and 133,603.20 is: 200,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,853.40 : 214,774.20 = 133,603.20 : x
  2. Step 2: Convert to fraction form
    142,853.40/214,774.20 = 133,603.20/x
  3. Step 3: Cross multiply
    142,853.40x = 214,774.20 × 133,603.20
  4. Step 4: Simplify right side
    142,853.40x = 28,694,520,397.44
  5. Step 5: Solve for x
    x = 28,694,520,397.44/142,853.40
  6. Step 6: Final answer
    x = 200,866.91

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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.