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Finding the Fourth Proportional to 156,540.75, 216,026.24 and 89,474.19

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Solution

The fourth proportional to 156,540.75, 216,026.24 and 89,474.19 is: 123,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,540.75 : 216,026.24 = 89,474.19 : x
  2. Step 2: Convert to fraction form
    156,540.75/216,026.24 = 89,474.19/x
  3. Step 3: Cross multiply
    156,540.75x = 216,026.24 × 89,474.19
  4. Step 4: Simplify right side
    156,540.75x = 19,328,772,395.37
  5. Step 5: Solve for x
    x = 19,328,772,395.37/156,540.75
  6. Step 6: Final answer
    x = 123,474.38

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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.