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Finding the Fourth Proportional to 156,895.91, 216,516.38 and 85,275.93

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Solution

The fourth proportional to 156,895.91, 216,516.38 and 85,275.93 is: 117,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,895.91 : 216,516.38 = 85,275.93 : x
  2. Step 2: Convert to fraction form
    156,895.91/216,516.38 = 85,275.93/x
  3. Step 3: Cross multiply
    156,895.91x = 216,516.38 × 85,275.93
  4. Step 4: Simplify right side
    156,895.91x = 18,463,635,238.35
  5. Step 5: Solve for x
    x = 18,463,635,238.35/156,895.91
  6. Step 6: Final answer
    x = 117,680.80

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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.