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Finding the Fourth Proportional to 156,642.24, 216,166.47 and 85,022.25

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Solution

The fourth proportional to 156,642.24, 216,166.47 and 85,022.25 is: 117,330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,642.24 : 216,166.47 = 85,022.25 : x
  2. Step 2: Convert to fraction form
    156,642.24/216,166.47 = 85,022.25/x
  3. Step 3: Cross multiply
    156,642.24x = 216,166.47 × 85,022.25
  4. Step 4: Simplify right side
    156,642.24x = 18,378,959,653.96
  5. Step 5: Solve for x
    x = 18,378,959,653.96/156,642.24
  6. Step 6: Final answer
    x = 117,330.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.