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Finding the Fourth Proportional to 353,692.05, 488,080.10 and 192,543.75

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Solution

The fourth proportional to 353,692.05, 488,080.10 and 192,543.75 is: 265,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,692.05 : 488,080.10 = 192,543.75 : x
  2. Step 2: Convert to fraction form
    353,692.05/488,080.10 = 192,543.75/x
  3. Step 3: Cross multiply
    353,692.05x = 488,080.10 × 192,543.75
  4. Step 4: Simplify right side
    353,692.05x = 93,976,771,791.66
  5. Step 5: Solve for x
    x = 93,976,771,791.66/353,692.05
  6. Step 6: Final answer
    x = 265,702.25

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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.