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Finding the Fourth Proportional to 265,252.32, 397,761.84 and 140,564.16

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Solution

The fourth proportional to 265,252.32, 397,761.84 and 140,564.16 is: 210,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,252.32 : 397,761.84 = 140,564.16 : x
  2. Step 2: Convert to fraction form
    265,252.32/397,761.84 = 140,564.16/x
  3. Step 3: Cross multiply
    265,252.32x = 397,761.84 × 140,564.16
  4. Step 4: Simplify right side
    265,252.32x = 55,911,058,919.65
  5. Step 5: Solve for x
    x = 55,911,058,919.65/265,252.32
  6. Step 6: Final answer
    x = 210,784.43

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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.