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Finding the Fourth Proportional to 263,705.16, 395,514 and 95,193.16

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Solution

The fourth proportional to 263,705.16, 395,514 and 95,193.16 is: 142,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,705.16 : 395,514 = 95,193.16 : x
  2. Step 2: Convert to fraction form
    263,705.16/395,514 = 95,193.16/x
  3. Step 3: Cross multiply
    263,705.16x = 395,514 × 95,193.16
  4. Step 4: Simplify right side
    263,705.16x = 37,650,227,484.24
  5. Step 5: Solve for x
    x = 37,650,227,484.24/263,705.16
  6. Step 6: Final answer
    x = 142,773.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.