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Finding the Fourth Proportional to 156,644.16, 216,169.20 and 85,024.17

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Solution

The fourth proportional to 156,644.16, 216,169.20 and 85,024.17 is: 117,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,644.16 : 216,169.20 = 85,024.17 : x
  2. Step 2: Convert to fraction form
    156,644.16/216,169.20 = 85,024.17/x
  3. Step 3: Cross multiply
    156,644.16x = 216,169.20 × 85,024.17
  4. Step 4: Simplify right side
    156,644.16x = 18,379,606,809.56
  5. Step 5: Solve for x
    x = 18,379,606,809.56/156,644.16
  6. Step 6: Final answer
    x = 117,333.50

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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.