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Finding the Fourth Proportional to 156,716.41, 216,269.46 and 85,096.41

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Solution

The fourth proportional to 156,716.41, 216,269.46 and 85,096.41 is: 117,433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,716.41 : 216,269.46 = 85,096.41 : x
  2. Step 2: Convert to fraction form
    156,716.41/216,269.46 = 85,096.41/x
  3. Step 3: Cross multiply
    156,716.41x = 216,269.46 × 85,096.41
  4. Step 4: Simplify right side
    156,716.41x = 18,403,754,638.64
  5. Step 5: Solve for x
    x = 18,403,754,638.64/156,716.41
  6. Step 6: Final answer
    x = 117,433.49

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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.