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Finding the Fourth Proportional to 146,217.40, 219,326.10 and 76,233.40

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Solution

The fourth proportional to 146,217.40, 219,326.10 and 76,233.40 is: 114,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,217.40 : 219,326.10 = 76,233.40 : x
  2. Step 2: Convert to fraction form
    146,217.40/219,326.10 = 76,233.40/x
  3. Step 3: Cross multiply
    146,217.40x = 219,326.10 × 76,233.40
  4. Step 4: Simplify right side
    146,217.40x = 16,719,974,311.74
  5. Step 5: Solve for x
    x = 16,719,974,311.74/146,217.40
  6. Step 6: Final answer
    x = 114,350.10

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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.