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Finding the Fourth Proportional to 156,268.24, 215,649.41 and 84,648.38

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Solution

The fourth proportional to 156,268.24, 215,649.41 and 84,648.38 is: 116,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,268.24 : 215,649.41 = 84,648.38 : x
  2. Step 2: Convert to fraction form
    156,268.24/215,649.41 = 84,648.38/x
  3. Step 3: Cross multiply
    156,268.24x = 215,649.41 × 84,648.38
  4. Step 4: Simplify right side
    156,268.24x = 18,254,371,702.97
  5. Step 5: Solve for x
    x = 18,254,371,702.97/156,268.24
  6. Step 6: Final answer
    x = 116,814.34

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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.