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Finding the Fourth Proportional to 101,159.76, 151,832.84 and 51,275.24

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Solution

The fourth proportional to 101,159.76, 151,832.84 and 51,275.24 is: 76,960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,159.76 : 151,832.84 = 51,275.24 : x
  2. Step 2: Convert to fraction form
    101,159.76/151,832.84 = 51,275.24/x
  3. Step 3: Cross multiply
    101,159.76x = 151,832.84 × 51,275.24
  4. Step 4: Simplify right side
    101,159.76x = 7,785,265,310.88
  5. Step 5: Solve for x
    x = 7,785,265,310.88/101,159.76
  6. Step 6: Final answer
    x = 76,960.10

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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.