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Finding the Fourth Proportional to 241,692.50, 362,513.22 and 64,217.45

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Solution

The fourth proportional to 241,692.50, 362,513.22 and 64,217.45 is: 96,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,692.50 : 362,513.22 = 64,217.45 : x
  2. Step 2: Convert to fraction form
    241,692.50/362,513.22 = 64,217.45/x
  3. Step 3: Cross multiply
    241,692.50x = 362,513.22 × 64,217.45
  4. Step 4: Simplify right side
    241,692.50x = 23,279,672,767.12
  5. Step 5: Solve for x
    x = 23,279,672,767.12/241,692.50
  6. Step 6: Final answer
    x = 96,319.39

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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.