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Finding the Fourth Proportional to 99,755.77, 149,546.04 and 40,641.16

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Solution

The fourth proportional to 99,755.77, 149,546.04 and 40,641.16 is: 60,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,755.77 : 149,546.04 = 40,641.16 : x
  2. Step 2: Convert to fraction form
    99,755.77/149,546.04 = 40,641.16/x
  3. Step 3: Cross multiply
    99,755.77x = 149,546.04 × 40,641.16
  4. Step 4: Simplify right side
    99,755.77x = 6,077,724,539.01
  5. Step 5: Solve for x
    x = 6,077,724,539.01/99,755.77
  6. Step 6: Final answer
    x = 60,926.05

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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.