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Finding the Fourth Proportional to 99,809.10, 149,713.65 and 60,443.10

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Solution

The fourth proportional to 99,809.10, 149,713.65 and 60,443.10 is: 90,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,809.10 : 149,713.65 = 60,443.10 : x
  2. Step 2: Convert to fraction form
    99,809.10/149,713.65 = 60,443.10/x
  3. Step 3: Cross multiply
    99,809.10x = 149,713.65 × 60,443.10
  4. Step 4: Simplify right side
    99,809.10x = 9,049,157,118.32
  5. Step 5: Solve for x
    x = 9,049,157,118.32/99,809.10
  6. Step 6: Final answer
    x = 90,664.65

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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.