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Finding the Fourth Proportional to 99,475.48, 149,214.78 and 55,382.48

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Solution

The fourth proportional to 99,475.48, 149,214.78 and 55,382.48 is: 83,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,475.48 : 149,214.78 = 55,382.48 : x
  2. Step 2: Convert to fraction form
    99,475.48/149,214.78 = 55,382.48/x
  3. Step 3: Cross multiply
    99,475.48x = 149,214.78 × 55,382.48
  4. Step 4: Simplify right side
    99,475.48x = 8,263,884,569.05
  5. Step 5: Solve for x
    x = 8,263,884,569.05/99,475.48
  6. Step 6: Final answer
    x = 83,074.59

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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.