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Finding the Fourth Proportional to 157,714.52, 236,695.38 and 110,019.38

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Solution

The fourth proportional to 157,714.52, 236,695.38 and 110,019.38 is: 165,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,714.52 : 236,695.38 = 110,019.38 : x
  2. Step 2: Convert to fraction form
    157,714.52/236,695.38 = 110,019.38/x
  3. Step 3: Cross multiply
    157,714.52x = 236,695.38 × 110,019.38
  4. Step 4: Simplify right side
    157,714.52x = 26,041,079,894.33
  5. Step 5: Solve for x
    x = 26,041,079,894.33/157,714.52
  6. Step 6: Final answer
    x = 165,115.29

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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.