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Finding the Fourth Proportional to 262,287.36, 361,943.04 and 143,032.32

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Solution

The fourth proportional to 262,287.36, 361,943.04 and 143,032.32 is: 197,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,287.36 : 361,943.04 = 143,032.32 : x
  2. Step 2: Convert to fraction form
    262,287.36/361,943.04 = 143,032.32/x
  3. Step 3: Cross multiply
    262,287.36x = 361,943.04 × 143,032.32
  4. Step 4: Simplify right side
    262,287.36x = 51,769,552,719.05
  5. Step 5: Solve for x
    x = 51,769,552,719.05/262,287.36
  6. Step 6: Final answer
    x = 197,377.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.