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Finding the Fourth Proportional to 263,447.48, 363,557.58 and 144,215.48

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Solution

The fourth proportional to 263,447.48, 363,557.58 and 144,215.48 is: 199,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,447.48 : 363,557.58 = 144,215.48 : x
  2. Step 2: Convert to fraction form
    263,447.48/363,557.58 = 144,215.48/x
  3. Step 3: Cross multiply
    263,447.48x = 363,557.58 × 144,215.48
  4. Step 4: Simplify right side
    263,447.48x = 52,430,630,907.34
  5. Step 5: Solve for x
    x = 52,430,630,907.34/263,447.48
  6. Step 6: Final answer
    x = 199,017.39

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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.