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Finding the Fourth Proportional to 156,481.32, 215,940.42 and 89,409

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Solution

The fourth proportional to 156,481.32, 215,940.42 and 89,409 is: 123,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,481.32 : 215,940.42 = 89,409 : x
  2. Step 2: Convert to fraction form
    156,481.32/215,940.42 = 89,409/x
  3. Step 3: Cross multiply
    156,481.32x = 215,940.42 × 89,409
  4. Step 4: Simplify right side
    156,481.32x = 19,307,017,011.78
  5. Step 5: Solve for x
    x = 19,307,017,011.78/156,481.32
  6. Step 6: Final answer
    x = 123,382.25

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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.