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Finding the Fourth Proportional to 99,785.75, 149,599.13 and 57,617.96

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Solution

The fourth proportional to 99,785.75, 149,599.13 and 57,617.96 is: 86,381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,785.75 : 149,599.13 = 57,617.96 : x
  2. Step 2: Convert to fraction form
    99,785.75/149,599.13 = 57,617.96/x
  3. Step 3: Cross multiply
    99,785.75x = 149,599.13 × 57,617.96
  4. Step 4: Simplify right side
    99,785.75x = 8,619,595,652.29
  5. Step 5: Solve for x
    x = 8,619,595,652.29/99,785.75
  6. Step 6: Final answer
    x = 86,381.03

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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.