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Finding the Fourth Proportional to 233,601.10, 322,394.73 and 143,018.02

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Solution

The fourth proportional to 233,601.10, 322,394.73 and 143,018.02 is: 197,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,601.10 : 322,394.73 = 143,018.02 : x
  2. Step 2: Convert to fraction form
    233,601.10/322,394.73 = 143,018.02/x
  3. Step 3: Cross multiply
    233,601.10x = 322,394.73 × 143,018.02
  4. Step 4: Simplify right side
    233,601.10x = 46,108,255,943.03
  5. Step 5: Solve for x
    x = 46,108,255,943.03/233,601.10
  6. Step 6: Final answer
    x = 197,380.30

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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.