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Finding the Fourth Proportional to 101,066.30, 151,696.65 and 51,202.70

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Solution

The fourth proportional to 101,066.30, 151,696.65 and 51,202.70 is: 76,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,066.30 : 151,696.65 = 51,202.70 : x
  2. Step 2: Convert to fraction form
    101,066.30/151,696.65 = 51,202.70/x
  3. Step 3: Cross multiply
    101,066.30x = 151,696.65 × 51,202.70
  4. Step 4: Simplify right side
    101,066.30x = 7,767,278,060.96
  5. Step 5: Solve for x
    x = 7,767,278,060.96/101,066.30
  6. Step 6: Final answer
    x = 76,853.29

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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.