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Finding the Fourth Proportional to 156,495.61, 234,761.77 and 49,842.20

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Solution

The fourth proportional to 156,495.61, 234,761.77 and 49,842.20 is: 74,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,495.61 : 234,761.77 = 49,842.20 : x
  2. Step 2: Convert to fraction form
    156,495.61/234,761.77 = 49,842.20/x
  3. Step 3: Cross multiply
    156,495.61x = 234,761.77 × 49,842.20
  4. Step 4: Simplify right side
    156,495.61x = 11,701,043,092.69
  5. Step 5: Solve for x
    x = 11,701,043,092.69/156,495.61
  6. Step 6: Final answer
    x = 74,769.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.