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Finding the Fourth Proportional to 131,714.55, 181,717.16 and 83,956.95

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Solution

The fourth proportional to 131,714.55, 181,717.16 and 83,956.95 is: 115,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,714.55 : 181,717.16 = 83,956.95 : x
  2. Step 2: Convert to fraction form
    131,714.55/181,717.16 = 83,956.95/x
  3. Step 3: Cross multiply
    131,714.55x = 181,717.16 × 83,956.95
  4. Step 4: Simplify right side
    131,714.55x = 15,256,418,096.48
  5. Step 5: Solve for x
    x = 15,256,418,096.48/131,714.55
  6. Step 6: Final answer
    x = 115,829.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.