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Finding the Fourth Proportional to 125,249.86, 187,899.42 and 46,364.77

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Solution

The fourth proportional to 125,249.86, 187,899.42 and 46,364.77 is: 69,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,249.86 : 187,899.42 = 46,364.77 : x
  2. Step 2: Convert to fraction form
    125,249.86/187,899.42 = 46,364.77/x
  3. Step 3: Cross multiply
    125,249.86x = 187,899.42 × 46,364.77
  4. Step 4: Simplify right side
    125,249.86x = 8,711,913,391.43
  5. Step 5: Solve for x
    x = 8,711,913,391.43/125,249.86
  6. Step 6: Final answer
    x = 69,556.27

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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.