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Finding the Fourth Proportional to 277,602.21, 383,092.27 and 150,277.80

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Solution

The fourth proportional to 277,602.21, 383,092.27 and 150,277.80 is: 207,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,602.21 : 383,092.27 = 150,277.80 : x
  2. Step 2: Convert to fraction form
    277,602.21/383,092.27 = 150,277.80/x
  3. Step 3: Cross multiply
    277,602.21x = 383,092.27 × 150,277.80
  4. Step 4: Simplify right side
    277,602.21x = 57,570,264,156.98
  5. Step 5: Solve for x
    x = 57,570,264,156.98/277,602.21
  6. Step 6: Final answer
    x = 207,384.03

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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.