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Finding the Fourth Proportional to 156,301.76, 234,451.02 and 37,974.54

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Solution

The fourth proportional to 156,301.76, 234,451.02 and 37,974.54 is: 56,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,301.76 : 234,451.02 = 37,974.54 : x
  2. Step 2: Convert to fraction form
    156,301.76/234,451.02 = 37,974.54/x
  3. Step 3: Cross multiply
    156,301.76x = 234,451.02 × 37,974.54
  4. Step 4: Simplify right side
    156,301.76x = 8,903,169,637.03
  5. Step 5: Solve for x
    x = 8,903,169,637.03/156,301.76
  6. Step 6: Final answer
    x = 56,961.42

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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.