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Finding the Fourth Proportional to 109,461.97, 151,054.50 and 61,714.90

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Solution

The fourth proportional to 109,461.97, 151,054.50 and 61,714.90 is: 85,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,461.97 : 151,054.50 = 61,714.90 : x
  2. Step 2: Convert to fraction form
    109,461.97/151,054.50 = 61,714.90/x
  3. Step 3: Cross multiply
    109,461.97x = 151,054.50 × 61,714.90
  4. Step 4: Simplify right side
    109,461.97x = 9,322,313,362.05
  5. Step 5: Solve for x
    x = 9,322,313,362.05/109,461.97
  6. Step 6: Final answer
    x = 85,164.86

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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.