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Finding the Fourth Proportional to 80,318.34, 120,390.66 and 52,258.50

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Solution

The fourth proportional to 80,318.34, 120,390.66 and 52,258.50 is: 78,331.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,318.34 : 120,390.66 = 52,258.50 : x
  2. Step 2: Convert to fraction form
    80,318.34/120,390.66 = 52,258.50/x
  3. Step 3: Cross multiply
    80,318.34x = 120,390.66 × 52,258.50
  4. Step 4: Simplify right side
    80,318.34x = 6,291,435,305.61
  5. Step 5: Solve for x
    x = 6,291,435,305.61/80,318.34
  6. Step 6: Final answer
    x = 78,331.24

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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.