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Finding the Fourth Proportional to 146,714.10, 219,743.10 and 127,031.10

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Solution

The fourth proportional to 146,714.10, 219,743.10 and 127,031.10 is: 190,262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,714.10 : 219,743.10 = 127,031.10 : x
  2. Step 2: Convert to fraction form
    146,714.10/219,743.10 = 127,031.10/x
  3. Step 3: Cross multiply
    146,714.10x = 219,743.10 × 127,031.10
  4. Step 4: Simplify right side
    146,714.10x = 27,914,207,710.41
  5. Step 5: Solve for x
    x = 27,914,207,710.41/146,714.10
  6. Step 6: Final answer
    x = 190,262.61

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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.