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Finding the Fourth Proportional to 142,170, 213,192.84 and 75,594

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Solution

The fourth proportional to 142,170, 213,192.84 and 75,594 is: 113,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,170 : 213,192.84 = 75,594 : x
  2. Step 2: Convert to fraction form
    142,170/213,192.84 = 75,594/x
  3. Step 3: Cross multiply
    142,170x = 213,192.84 × 75,594
  4. Step 4: Simplify right side
    142,170x = 16,116,099,546.96
  5. Step 5: Solve for x
    x = 16,116,099,546.96/142,170
  6. Step 6: Final answer
    x = 113,357.95

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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.