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Finding the Fourth Proportional to 156,633.84, 216,154.91 and 85,013.87

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Solution

The fourth proportional to 156,633.84, 216,154.91 and 85,013.87 is: 117,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,633.84 : 216,154.91 = 85,013.87 : x
  2. Step 2: Convert to fraction form
    156,633.84/216,154.91 = 85,013.87/x
  3. Step 3: Cross multiply
    156,633.84x = 216,154.91 × 85,013.87
  4. Step 4: Simplify right side
    156,633.84x = 18,376,165,766.23
  5. Step 5: Solve for x
    x = 18,376,165,766.23/156,633.84
  6. Step 6: Final answer
    x = 117,319.26

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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.