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Finding the Fourth Proportional to 120,597.04, 166,415.64 and 66,877

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Solution

The fourth proportional to 120,597.04, 166,415.64 and 66,877 is: 92,285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,597.04 : 166,415.64 = 66,877 : x
  2. Step 2: Convert to fraction form
    120,597.04/166,415.64 = 66,877/x
  3. Step 3: Cross multiply
    120,597.04x = 166,415.64 × 66,877
  4. Step 4: Simplify right side
    120,597.04x = 11,129,378,756.28
  5. Step 5: Solve for x
    x = 11,129,378,756.28/120,597.04
  6. Step 6: Final answer
    x = 92,285.67

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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.