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Finding the Fourth Proportional to 119,049.63, 164,283.30 and 65,335.56

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Solution

The fourth proportional to 119,049.63, 164,283.30 and 65,335.56 is: 90,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,049.63 : 164,283.30 = 65,335.56 : x
  2. Step 2: Convert to fraction form
    119,049.63/164,283.30 = 65,335.56/x
  3. Step 3: Cross multiply
    119,049.63x = 164,283.30 × 65,335.56
  4. Step 4: Simplify right side
    119,049.63x = 10,733,541,404.15
  5. Step 5: Solve for x
    x = 10,733,541,404.15/119,049.63
  6. Step 6: Final answer
    x = 90,160.22

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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.