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Finding the Fourth Proportional to 161,744.74, 223,204.77 and 90,123.22

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Solution

The fourth proportional to 161,744.74, 223,204.77 and 90,123.22 is: 124,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,744.74 : 223,204.77 = 90,123.22 : x
  2. Step 2: Convert to fraction form
    161,744.74/223,204.77 = 90,123.22/x
  3. Step 3: Cross multiply
    161,744.74x = 223,204.77 × 90,123.22
  4. Step 4: Simplify right side
    161,744.74x = 20,115,932,591.76
  5. Step 5: Solve for x
    x = 20,115,932,591.76/161,744.74
  6. Step 6: Final answer
    x = 124,368.39

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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.