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Finding the Fourth Proportional to 161,813.84, 223,310.66 and 90,194.38

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Solution

The fourth proportional to 161,813.84, 223,310.66 and 90,194.38 is: 124,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,813.84 : 223,310.66 = 90,194.38 : x
  2. Step 2: Convert to fraction form
    161,813.84/223,310.66 = 90,194.38/x
  3. Step 3: Cross multiply
    161,813.84x = 223,310.66 × 90,194.38
  4. Step 4: Simplify right side
    161,813.84x = 20,141,365,516.84
  5. Step 5: Solve for x
    x = 20,141,365,516.84/161,813.84
  6. Step 6: Final answer
    x = 124,472.46

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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.