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Finding the Fourth Proportional to 101,883.12, 152,625.87 and 66,716.16

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Solution

The fourth proportional to 101,883.12, 152,625.87 and 66,716.16 is: 99,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,883.12 : 152,625.87 = 66,716.16 : x
  2. Step 2: Convert to fraction form
    101,883.12/152,625.87 = 66,716.16/x
  3. Step 3: Cross multiply
    101,883.12x = 152,625.87 × 66,716.16
  4. Step 4: Simplify right side
    101,883.12x = 10,182,611,390.71
  5. Step 5: Solve for x
    x = 10,182,611,390.71/101,883.12
  6. Step 6: Final answer
    x = 99,944.05

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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.