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Finding the Fourth Proportional to 142,074.40, 213,146.83 and 42,234.41

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Solution

The fourth proportional to 142,074.40, 213,146.83 and 42,234.41 is: 63,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,074.40 : 213,146.83 = 42,234.41 : x
  2. Step 2: Convert to fraction form
    142,074.40/213,146.83 = 42,234.41/x
  3. Step 3: Cross multiply
    142,074.40x = 213,146.83 × 42,234.41
  4. Step 4: Simplify right side
    142,074.40x = 9,002,130,608.42
  5. Step 5: Solve for x
    x = 9,002,130,608.42/142,074.40
  6. Step 6: Final answer
    x = 63,362.09

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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.