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Finding the Fourth Proportional to 234,652.74, 323,796.80 and 144,012.52

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Solution

The fourth proportional to 234,652.74, 323,796.80 and 144,012.52 is: 198,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,652.74 : 323,796.80 = 144,012.52 : x
  2. Step 2: Convert to fraction form
    234,652.74/323,796.80 = 144,012.52/x
  3. Step 3: Cross multiply
    234,652.74x = 323,796.80 × 144,012.52
  4. Step 4: Simplify right side
    234,652.74x = 46,630,793,135.94
  5. Step 5: Solve for x
    x = 46,630,793,135.94/234,652.74
  6. Step 6: Final answer
    x = 198,722.56

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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.