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Finding the Fourth Proportional to 265,449.12, 398,232.72 and 96,969.12

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Solution

The fourth proportional to 265,449.12, 398,232.72 and 96,969.12 is: 145,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,449.12 : 398,232.72 = 96,969.12 : x
  2. Step 2: Convert to fraction form
    265,449.12/398,232.72 = 96,969.12/x
  3. Step 3: Cross multiply
    265,449.12x = 398,232.72 × 96,969.12
  4. Step 4: Simplify right side
    265,449.12x = 38,616,276,413.61
  5. Step 5: Solve for x
    x = 38,616,276,413.61/265,449.12
  6. Step 6: Final answer
    x = 145,475.25

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1.5x scale

Why These Related Problems?

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