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Finding the Fourth Proportional to 301,692.21, 452,153.59 and 141,414.61

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Solution

The fourth proportional to 301,692.21, 452,153.59 and 141,414.61 is: 211,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,692.21 : 452,153.59 = 141,414.61 : x
  2. Step 2: Convert to fraction form
    301,692.21/452,153.59 = 141,414.61/x
  3. Step 3: Cross multiply
    301,692.21x = 452,153.59 × 141,414.61
  4. Step 4: Simplify right side
    301,692.21x = 63,941,123,749.27
  5. Step 5: Solve for x
    x = 63,941,123,749.27/301,692.21
  6. Step 6: Final answer
    x = 211,941.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.