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Finding the Fourth Proportional to 156,205.50, 234,379.65 and 85,021.50

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Solution

The fourth proportional to 156,205.50, 234,379.65 and 85,021.50 is: 127,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,205.50 : 234,379.65 = 85,021.50 : x
  2. Step 2: Convert to fraction form
    156,205.50/234,379.65 = 85,021.50/x
  3. Step 3: Cross multiply
    156,205.50x = 234,379.65 × 85,021.50
  4. Step 4: Simplify right side
    156,205.50x = 19,927,309,412.48
  5. Step 5: Solve for x
    x = 19,927,309,412.48/156,205.50
  6. Step 6: Final answer
    x = 127,571.11

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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.