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Finding the Fourth Proportional to 265,791.16, 398,686.74 and 107,982.64

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Solution

The fourth proportional to 265,791.16, 398,686.74 and 107,982.64 is: 161,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,791.16 : 398,686.74 = 107,982.64 : x
  2. Step 2: Convert to fraction form
    265,791.16/398,686.74 = 107,982.64/x
  3. Step 3: Cross multiply
    265,791.16x = 398,686.74 × 107,982.64
  4. Step 4: Simplify right side
    265,791.16x = 43,051,246,718.19
  5. Step 5: Solve for x
    x = 43,051,246,718.19/265,791.16
  6. Step 6: Final answer
    x = 161,973.96

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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.