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Finding the Fourth Proportional to 99,722.32, 149,653.50 and 90,193.68

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Solution

The fourth proportional to 99,722.32, 149,653.50 and 90,193.68 is: 135,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,722.32 : 149,653.50 = 90,193.68 : x
  2. Step 2: Convert to fraction form
    99,722.32/149,653.50 = 90,193.68/x
  3. Step 3: Cross multiply
    99,722.32x = 149,653.50 × 90,193.68
  4. Step 4: Simplify right side
    99,722.32x = 13,497,799,889.88
  5. Step 5: Solve for x
    x = 13,497,799,889.88/99,722.32
  6. Step 6: Final answer
    x = 135,353.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.