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Finding the Fourth Proportional to 263,070.54, 363,045.51 and 149,886

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Solution

The fourth proportional to 263,070.54, 363,045.51 and 149,886 is: 206,847.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,070.54 : 363,045.51 = 149,886 : x
  2. Step 2: Convert to fraction form
    263,070.54/363,045.51 = 149,886/x
  3. Step 3: Cross multiply
    263,070.54x = 363,045.51 × 149,886
  4. Step 4: Simplify right side
    263,070.54x = 54,415,439,311.86
  5. Step 5: Solve for x
    x = 54,415,439,311.86/263,070.54
  6. Step 6: Final answer
    x = 206,847.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.