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Finding the Fourth Proportional to 233,399.57, 322,097.81 and 142,753.91

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Solution

The fourth proportional to 233,399.57, 322,097.81 and 142,753.91 is: 197,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,399.57 : 322,097.81 = 142,753.91 : x
  2. Step 2: Convert to fraction form
    233,399.57/322,097.81 = 142,753.91/x
  3. Step 3: Cross multiply
    233,399.57x = 322,097.81 × 142,753.91
  4. Step 4: Simplify right side
    233,399.57x = 45,980,719,455.68
  5. Step 5: Solve for x
    x = 45,980,719,455.68/233,399.57
  6. Step 6: Final answer
    x = 197,004.31

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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.