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Finding the Fourth Proportional to 265,270.71, 365,965.17 and 163,265.40

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Solution

The fourth proportional to 265,270.71, 365,965.17 and 163,265.40 is: 225,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,270.71 : 365,965.17 = 163,265.40 : x
  2. Step 2: Convert to fraction form
    265,270.71/365,965.17 = 163,265.40/x
  3. Step 3: Cross multiply
    265,270.71x = 365,965.17 × 163,265.40
  4. Step 4: Simplify right side
    265,270.71x = 59,749,449,866.12
  5. Step 5: Solve for x
    x = 59,749,449,866.12/265,270.71
  6. Step 6: Final answer
    x = 225,239.53

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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.