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Finding the Fourth Proportional to 165,002.33, 227,703.30 and 89,550.83

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Solution

The fourth proportional to 165,002.33, 227,703.30 and 89,550.83 is: 123,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,002.33 : 227,703.30 = 89,550.83 : x
  2. Step 2: Convert to fraction form
    165,002.33/227,703.30 = 89,550.83/x
  3. Step 3: Cross multiply
    165,002.33x = 227,703.30 × 89,550.83
  4. Step 4: Simplify right side
    165,002.33x = 20,391,018,370.22
  5. Step 5: Solve for x
    x = 20,391,018,370.22/165,002.33
  6. Step 6: Final answer
    x = 123,580.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.