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Finding the Fourth Proportional to 142,766.61, 214,246.82 and 76,254.49

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Solution

The fourth proportional to 142,766.61, 214,246.82 and 76,254.49 is: 114,433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,766.61 : 214,246.82 = 76,254.49 : x
  2. Step 2: Convert to fraction form
    142,766.61/214,246.82 = 76,254.49/x
  3. Step 3: Cross multiply
    142,766.61x = 214,246.82 × 76,254.49
  4. Step 4: Simplify right side
    142,766.61x = 16,337,281,993.22
  5. Step 5: Solve for x
    x = 16,337,281,993.22/142,766.61
  6. Step 6: Final answer
    x = 114,433.49

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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.