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Finding the Fourth Proportional to 157,714.08, 236,571.12 and 92,004

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Solution

The fourth proportional to 157,714.08, 236,571.12 and 92,004 is: 138,006

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,714.08 : 236,571.12 = 92,004 : x
  2. Step 2: Convert to fraction form
    157,714.08/236,571.12 = 92,004/x
  3. Step 3: Cross multiply
    157,714.08x = 236,571.12 × 92,004
  4. Step 4: Simplify right side
    157,714.08x = 21,765,489,324.48
  5. Step 5: Solve for x
    x = 21,765,489,324.48/157,714.08
  6. Step 6: Final answer
    x = 138,006

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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.