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Finding the Fourth Proportional to 142,825.20, 214,237.80 and 90,466.80

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Solution

The fourth proportional to 142,825.20, 214,237.80 and 90,466.80 is: 135,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,825.20 : 214,237.80 = 90,466.80 : x
  2. Step 2: Convert to fraction form
    142,825.20/214,237.80 = 90,466.80/x
  3. Step 3: Cross multiply
    142,825.20x = 214,237.80 × 90,466.80
  4. Step 4: Simplify right side
    142,825.20x = 19,381,408,205.04
  5. Step 5: Solve for x
    x = 19,381,408,205.04/142,825.20
  6. Step 6: Final answer
    x = 135,700.20

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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.