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Finding the Fourth Proportional to 142,262.32, 213,393.64 and 37,081.20

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Solution

The fourth proportional to 142,262.32, 213,393.64 and 37,081.20 is: 55,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,262.32 : 213,393.64 = 37,081.20 : x
  2. Step 2: Convert to fraction form
    142,262.32/213,393.64 = 37,081.20/x
  3. Step 3: Cross multiply
    142,262.32x = 213,393.64 × 37,081.20
  4. Step 4: Simplify right side
    142,262.32x = 7,912,892,243.57
  5. Step 5: Solve for x
    x = 7,912,892,243.57/142,262.32
  6. Step 6: Final answer
    x = 55,621.84

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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.