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Finding the Fourth Proportional to 156,987.67, 216,644.52 and 85,369.24

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Solution

The fourth proportional to 156,987.67, 216,644.52 and 85,369.24 is: 117,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,987.67 : 216,644.52 = 85,369.24 : x
  2. Step 2: Convert to fraction form
    156,987.67/216,644.52 = 85,369.24/x
  3. Step 3: Cross multiply
    156,987.67x = 216,644.52 × 85,369.24
  4. Step 4: Simplify right side
    156,987.67x = 18,494,778,613.51
  5. Step 5: Solve for x
    x = 18,494,778,613.51/156,987.67
  6. Step 6: Final answer
    x = 117,810.39

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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.