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Finding the Fourth Proportional to 165,117.60, 227,344.32 and 145,716.48

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Solution

The fourth proportional to 165,117.60, 227,344.32 and 145,716.48 is: 200,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,117.60 : 227,344.32 = 145,716.48 : x
  2. Step 2: Convert to fraction form
    165,117.60/227,344.32 = 145,716.48/x
  3. Step 3: Cross multiply
    165,117.60x = 227,344.32 × 145,716.48
  4. Step 4: Simplify right side
    165,117.60x = 33,127,814,058.39
  5. Step 5: Solve for x
    x = 33,127,814,058.39/165,117.60
  6. Step 6: Final answer
    x = 200,631.64

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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.