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Finding the Fourth Proportional to 277,692.06, 383,214.39 and 150,367.66

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Solution

The fourth proportional to 277,692.06, 383,214.39 and 150,367.66 is: 207,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,692.06 : 383,214.39 = 150,367.66 : x
  2. Step 2: Convert to fraction form
    277,692.06/383,214.39 = 150,367.66/x
  3. Step 3: Cross multiply
    277,692.06x = 383,214.39 × 150,367.66
  4. Step 4: Simplify right side
    277,692.06x = 57,623,050,426.53
  5. Step 5: Solve for x
    x = 57,623,050,426.53/277,692.06
  6. Step 6: Final answer
    x = 207,507.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.