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Finding the Fourth Proportional to 156,495.96, 234,746.37 and 38,169.54

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Solution

The fourth proportional to 156,495.96, 234,746.37 and 38,169.54 is: 57,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,495.96 : 234,746.37 = 38,169.54 : x
  2. Step 2: Convert to fraction form
    156,495.96/234,746.37 = 38,169.54/x
  3. Step 3: Cross multiply
    156,495.96x = 234,746.37 × 38,169.54
  4. Step 4: Simplify right side
    156,495.96x = 8,960,160,959.57
  5. Step 5: Solve for x
    x = 8,960,160,959.57/156,495.96
  6. Step 6: Final answer
    x = 57,254.90

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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.