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Finding the Fourth Proportional to 261,840.54, 361,377.63 and 189,478.38

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Solution

The fourth proportional to 261,840.54, 361,377.63 and 189,478.38 is: 261,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,840.54 : 361,377.63 = 189,478.38 : x
  2. Step 2: Convert to fraction form
    261,840.54/361,377.63 = 189,478.38/x
  3. Step 3: Cross multiply
    261,840.54x = 361,377.63 × 189,478.38
  4. Step 4: Simplify right side
    261,840.54x = 68,473,247,900.64
  5. Step 5: Solve for x
    x = 68,473,247,900.64/261,840.54
  6. Step 6: Final answer
    x = 261,507.43

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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.