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Finding the Fourth Proportional to 165,036, 227,750.08 and 89,584.48

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Solution

The fourth proportional to 165,036, 227,750.08 and 89,584.48 is: 123,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,036 : 227,750.08 = 89,584.48 : x
  2. Step 2: Convert to fraction form
    165,036/227,750.08 = 89,584.48/x
  3. Step 3: Cross multiply
    165,036x = 227,750.08 × 89,584.48
  4. Step 4: Simplify right side
    165,036x = 20,402,872,486.76
  5. Step 5: Solve for x
    x = 20,402,872,486.76/165,036
  6. Step 6: Final answer
    x = 123,626.80

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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.