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Finding the Fourth Proportional to 207,994.56, 311,733 and 101,291.28

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Solution

The fourth proportional to 207,994.56, 311,733 and 101,291.28 is: 151,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,994.56 : 311,733 = 101,291.28 : x
  2. Step 2: Convert to fraction form
    207,994.56/311,733 = 101,291.28/x
  3. Step 3: Cross multiply
    207,994.56x = 311,733 × 101,291.28
  4. Step 4: Simplify right side
    207,994.56x = 31,575,834,588.24
  5. Step 5: Solve for x
    x = 31,575,834,588.24/207,994.56
  6. Step 6: Final answer
    x = 151,810.87

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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.