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Finding the Fourth Proportional to 277,374.72, 382,777.20 and 150,050.52

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Solution

The fourth proportional to 277,374.72, 382,777.20 and 150,050.52 is: 207,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,374.72 : 382,777.20 = 150,050.52 : x
  2. Step 2: Convert to fraction form
    277,374.72/382,777.20 = 150,050.52/x
  3. Step 3: Cross multiply
    277,374.72x = 382,777.20 × 150,050.52
  4. Step 4: Simplify right side
    277,374.72x = 57,435,917,904.14
  5. Step 5: Solve for x
    x = 57,435,917,904.14/277,374.72
  6. Step 6: Final answer
    x = 207,069.76

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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.