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Finding the Fourth Proportional to 251,771.71, 377,714.46 and 83,291.64

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Solution

The fourth proportional to 251,771.71, 377,714.46 and 83,291.64 is: 124,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,771.71 : 377,714.46 = 83,291.64 : x
  2. Step 2: Convert to fraction form
    251,771.71/377,714.46 = 83,291.64/x
  3. Step 3: Cross multiply
    251,771.71x = 377,714.46 × 83,291.64
  4. Step 4: Simplify right side
    251,771.71x = 31,460,456,621.28
  5. Step 5: Solve for x
    x = 31,460,456,621.28/251,771.71
  6. Step 6: Final answer
    x = 124,956.28

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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.