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Finding the Fourth Proportional to 156,683.52, 216,223.70 and 85,063.86

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Solution

The fourth proportional to 156,683.52, 216,223.70 and 85,063.86 is: 117,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,683.52 : 216,223.70 = 85,063.86 : x
  2. Step 2: Convert to fraction form
    156,683.52/216,223.70 = 85,063.86/x
  3. Step 3: Cross multiply
    156,683.52x = 216,223.70 × 85,063.86
  4. Step 4: Simplify right side
    156,683.52x = 18,392,822,120.16
  5. Step 5: Solve for x
    x = 18,392,822,120.16/156,683.52
  6. Step 6: Final answer
    x = 117,388.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.