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Finding the Fourth Proportional to 187,714.32, 280,161.60 and 162,301.68

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Solution

The fourth proportional to 187,714.32, 280,161.60 and 162,301.68 is: 242,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,714.32 : 280,161.60 = 162,301.68 : x
  2. Step 2: Convert to fraction form
    187,714.32/280,161.60 = 162,301.68/x
  3. Step 3: Cross multiply
    187,714.32x = 280,161.60 × 162,301.68
  4. Step 4: Simplify right side
    187,714.32x = 45,470,698,351.49
  5. Step 5: Solve for x
    x = 45,470,698,351.49/187,714.32
  6. Step 6: Final answer
    x = 242,233.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.