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Finding the Fourth Proportional to 156,641.46, 216,159.42 and 85,019.96

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Solution

The fourth proportional to 156,641.46, 216,159.42 and 85,019.96 is: 117,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,641.46 : 216,159.42 = 85,019.96 : x
  2. Step 2: Convert to fraction form
    156,641.46/216,159.42 = 85,019.96/x
  3. Step 3: Cross multiply
    156,641.46x = 216,159.42 × 85,019.96
  4. Step 4: Simplify right side
    156,641.46x = 18,377,864,161.23
  5. Step 5: Solve for x
    x = 18,377,864,161.23/156,641.46
  6. Step 6: Final answer
    x = 117,324.39

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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.