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Finding the Fourth Proportional to 156,782.57, 216,363.97 and 85,166.69

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Solution

The fourth proportional to 156,782.57, 216,363.97 and 85,166.69 is: 117,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,782.57 : 216,363.97 = 85,166.69 : x
  2. Step 2: Convert to fraction form
    156,782.57/216,363.97 = 85,166.69/x
  3. Step 3: Cross multiply
    156,782.57x = 216,363.97 × 85,166.69
  4. Step 4: Simplify right side
    156,782.57x = 18,427,003,913.99
  5. Step 5: Solve for x
    x = 18,427,003,913.99/156,782.57
  6. Step 6: Final answer
    x = 117,532.22

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1.5x scale

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.