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Finding the Fourth Proportional to 233,838.54, 322,620.71 and 143,099.91

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Solution

The fourth proportional to 233,838.54, 322,620.71 and 143,099.91 is: 197,431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,838.54 : 322,620.71 = 143,099.91 : x
  2. Step 2: Convert to fraction form
    233,838.54/322,620.71 = 143,099.91/x
  3. Step 3: Cross multiply
    233,838.54x = 322,620.71 × 143,099.91
  4. Step 4: Simplify right side
    233,838.54x = 46,166,993,849.64
  5. Step 5: Solve for x
    x = 46,166,993,849.64/233,838.54
  6. Step 6: Final answer
    x = 197,431.07

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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.