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Finding the Fourth Proportional to 99,478.85, 149,118.47 and 46,208.22

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Solution

The fourth proportional to 99,478.85, 149,118.47 and 46,208.22 is: 69,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,478.85 : 149,118.47 = 46,208.22 : x
  2. Step 2: Convert to fraction form
    99,478.85/149,118.47 = 46,208.22/x
  3. Step 3: Cross multiply
    99,478.85x = 149,118.47 × 46,208.22
  4. Step 4: Simplify right side
    99,478.85x = 6,890,498,836.78
  5. Step 5: Solve for x
    x = 6,890,498,836.78/99,478.85
  6. Step 6: Final answer
    x = 69,265.97

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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.