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Finding the Fourth Proportional to 263,652.48, 363,838.61 and 142,791

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Solution

The fourth proportional to 263,652.48, 363,838.61 and 142,791 is: 197,050.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,652.48 : 363,838.61 = 142,791 : x
  2. Step 2: Convert to fraction form
    263,652.48/363,838.61 = 142,791/x
  3. Step 3: Cross multiply
    263,652.48x = 363,838.61 × 142,791
  4. Step 4: Simplify right side
    263,652.48x = 51,952,878,246.56
  5. Step 5: Solve for x
    x = 51,952,878,246.56/263,652.48
  6. Step 6: Final answer
    x = 197,050.60

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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.