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Finding the Fourth Proportional to 156,782.29, 216,363.59 and 85,166.41

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Solution

The fourth proportional to 156,782.29, 216,363.59 and 85,166.41 is: 117,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,782.29 : 216,363.59 = 85,166.41 : x
  2. Step 2: Convert to fraction form
    156,782.29/216,363.59 = 85,166.41/x
  3. Step 3: Cross multiply
    156,782.29x = 216,363.59 × 85,166.41
  4. Step 4: Simplify right side
    156,782.29x = 18,426,910,215.01
  5. Step 5: Solve for x
    x = 18,426,910,215.01/156,782.29
  6. Step 6: Final answer
    x = 117,531.83

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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.