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Finding the Fourth Proportional to 156,960.86, 216,610.36 and 85,345.80

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Solution

The fourth proportional to 156,960.86, 216,610.36 and 85,345.80 is: 117,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,960.86 : 216,610.36 = 85,345.80 : x
  2. Step 2: Convert to fraction form
    156,960.86/216,610.36 = 85,345.80/x
  3. Step 3: Cross multiply
    156,960.86x = 216,610.36 × 85,345.80
  4. Step 4: Simplify right side
    156,960.86x = 18,486,784,462.49
  5. Step 5: Solve for x
    x = 18,486,784,462.49/156,960.86
  6. Step 6: Final answer
    x = 117,779.58

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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.