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Finding the Fourth Proportional to 142,694.96, 214,025.44 and 37,522.12

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Solution

The fourth proportional to 142,694.96, 214,025.44 and 37,522.12 is: 56,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,694.96 : 214,025.44 = 37,522.12 : x
  2. Step 2: Convert to fraction form
    142,694.96/214,025.44 = 37,522.12/x
  3. Step 3: Cross multiply
    142,694.96x = 214,025.44 × 37,522.12
  4. Step 4: Simplify right side
    142,694.96x = 8,030,688,242.73
  5. Step 5: Solve for x
    x = 8,030,688,242.73/142,694.96
  6. Step 6: Final answer
    x = 56,278.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.