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Finding the Fourth Proportional to 202,714.44, 304,024.51 and 76,367.35

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Solution

The fourth proportional to 202,714.44, 304,024.51 and 76,367.35 is: 114,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,714.44 : 304,024.51 = 76,367.35 : x
  2. Step 2: Convert to fraction form
    202,714.44/304,024.51 = 76,367.35/x
  3. Step 3: Cross multiply
    202,714.44x = 304,024.51 × 76,367.35
  4. Step 4: Simplify right side
    202,714.44x = 23,217,545,781.91
  5. Step 5: Solve for x
    x = 23,217,545,781.91/202,714.44
  6. Step 6: Final answer
    x = 114,533.26

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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.