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Finding the Fourth Proportional to 295,142.52, 442,714.18 and 126,553.98

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Solution

The fourth proportional to 295,142.52, 442,714.18 and 126,553.98 is: 189,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,142.52 : 442,714.18 = 126,553.98 : x
  2. Step 2: Convert to fraction form
    295,142.52/442,714.18 = 126,553.98/x
  3. Step 3: Cross multiply
    295,142.52x = 442,714.18 × 126,553.98
  4. Step 4: Simplify right side
    295,142.52x = 56,027,241,481.44
  5. Step 5: Solve for x
    x = 56,027,241,481.44/295,142.52
  6. Step 6: Final answer
    x = 189,831.14

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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.