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Finding the Fourth Proportional to 277,833.86, 383,410.91 and 150,509.96

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Solution

The fourth proportional to 277,833.86, 383,410.91 and 150,509.96 is: 207,703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,833.86 : 383,410.91 = 150,509.96 : x
  2. Step 2: Convert to fraction form
    277,833.86/383,410.91 = 150,509.96/x
  3. Step 3: Cross multiply
    277,833.86x = 383,410.91 × 150,509.96
  4. Step 4: Simplify right side
    277,833.86x = 57,707,160,727.66
  5. Step 5: Solve for x
    x = 57,707,160,727.66/277,833.86
  6. Step 6: Final answer
    x = 207,703.84

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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.