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Finding the Fourth Proportional to 165,692.26, 248,538.30 and 47,363.50

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Solution

The fourth proportional to 165,692.26, 248,538.30 and 47,363.50 is: 71,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,692.26 : 248,538.30 = 47,363.50 : x
  2. Step 2: Convert to fraction form
    165,692.26/248,538.30 = 47,363.50/x
  3. Step 3: Cross multiply
    165,692.26x = 248,538.30 × 47,363.50
  4. Step 4: Simplify right side
    165,692.26x = 11,771,643,772.05
  5. Step 5: Solve for x
    x = 11,771,643,772.05/165,692.26
  6. Step 6: Final answer
    x = 71,045.22

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