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Finding the Fourth Proportional to 120,577, 166,396.26 and 67,585

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Solution

The fourth proportional to 120,577, 166,396.26 and 67,585 is: 93,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,577 : 166,396.26 = 67,585 : x
  2. Step 2: Convert to fraction form
    120,577/166,396.26 = 67,585/x
  3. Step 3: Cross multiply
    120,577x = 166,396.26 × 67,585
  4. Step 4: Simplify right side
    120,577x = 11,245,891,232.10
  5. Step 5: Solve for x
    x = 11,245,891,232.10/120,577
  6. Step 6: Final answer
    x = 93,267.30

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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.