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Finding the Fourth Proportional to 265,765, 398,813.52 and 107,993.40

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Solution

The fourth proportional to 265,765, 398,813.52 and 107,993.40 is: 162,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,765 : 398,813.52 = 107,993.40 : x
  2. Step 2: Convert to fraction form
    265,765/398,813.52 = 107,993.40/x
  3. Step 3: Cross multiply
    265,765x = 398,813.52 × 107,993.40
  4. Step 4: Simplify right side
    265,765x = 43,069,227,990.77
  5. Step 5: Solve for x
    x = 43,069,227,990.77/265,765
  6. Step 6: Final answer
    x = 162,057.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.