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Finding the Fourth Proportional to 277,692.96, 383,218.11 and 150,368.58

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Solution

The fourth proportional to 277,692.96, 383,218.11 and 150,368.58 is: 207,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,692.96 : 383,218.11 = 150,368.58 : x
  2. Step 2: Convert to fraction form
    277,692.96/383,218.11 = 150,368.58/x
  3. Step 3: Cross multiply
    277,692.96x = 383,218.11 × 150,368.58
  4. Step 4: Simplify right side
    277,692.96x = 57,623,963,030.98
  5. Step 5: Solve for x
    x = 57,623,963,030.98/277,692.96
  6. Step 6: Final answer
    x = 207,509.63

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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.