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Finding the Fourth Proportional to 156,005.40, 234,008.10 and 146,163.90

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Solution

The fourth proportional to 156,005.40, 234,008.10 and 146,163.90 is: 219,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,005.40 : 234,008.10 = 146,163.90 : x
  2. Step 2: Convert to fraction form
    156,005.40/234,008.10 = 146,163.90/x
  3. Step 3: Cross multiply
    156,005.40x = 234,008.10 × 146,163.90
  4. Step 4: Simplify right side
    156,005.40x = 34,203,536,527.59
  5. Step 5: Solve for x
    x = 34,203,536,527.59/156,005.40
  6. Step 6: Final answer
    x = 219,245.85

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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.