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Finding the Fourth Proportional to 251,462.91, 347,008.25 and 142,574.57

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Solution

The fourth proportional to 251,462.91, 347,008.25 and 142,574.57 is: 196,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,462.91 : 347,008.25 = 142,574.57 : x
  2. Step 2: Convert to fraction form
    251,462.91/347,008.25 = 142,574.57/x
  3. Step 3: Cross multiply
    251,462.91x = 347,008.25 × 142,574.57
  4. Step 4: Simplify right side
    251,462.91x = 49,474,551,317.33
  5. Step 5: Solve for x
    x = 49,474,551,317.33/251,462.91
  6. Step 6: Final answer
    x = 196,746.91

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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.