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Finding the Fourth Proportional to 156,965.38, 216,612.77 and 85,345.72

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Solution

The fourth proportional to 156,965.38, 216,612.77 and 85,345.72 is: 117,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,965.38 : 216,612.77 = 85,345.72 : x
  2. Step 2: Convert to fraction form
    156,965.38/216,612.77 = 85,345.72/x
  3. Step 3: Cross multiply
    156,965.38x = 216,612.77 × 85,345.72
  4. Step 4: Simplify right side
    156,965.38x = 18,486,971,848.58
  5. Step 5: Solve for x
    x = 18,486,971,848.58/156,965.38
  6. Step 6: Final answer
    x = 117,777.39

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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.