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Finding the Fourth Proportional to 277,374.88, 382,777.14 and 150,050.59

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Solution

The fourth proportional to 277,374.88, 382,777.14 and 150,050.59 is: 207,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,374.88 : 382,777.14 = 150,050.59 : x
  2. Step 2: Convert to fraction form
    277,374.88/382,777.14 = 150,050.59/x
  3. Step 3: Cross multiply
    277,374.88x = 382,777.14 × 150,050.59
  4. Step 4: Simplify right side
    277,374.88x = 57,435,935,695.51
  5. Step 5: Solve for x
    x = 57,435,935,695.51/277,374.88
  6. Step 6: Final answer
    x = 207,069.71

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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.