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Finding the Fourth Proportional to 120,296.90, 166,007.13 and 65,849.01

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Solution

The fourth proportional to 120,296.90, 166,007.13 and 65,849.01 is: 90,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,296.90 : 166,007.13 = 65,849.01 : x
  2. Step 2: Convert to fraction form
    120,296.90/166,007.13 = 65,849.01/x
  3. Step 3: Cross multiply
    120,296.90x = 166,007.13 × 65,849.01
  4. Step 4: Simplify right side
    120,296.90x = 10,931,405,163.44
  5. Step 5: Solve for x
    x = 10,931,405,163.44/120,296.90
  6. Step 6: Final answer
    x = 90,870.21

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1.5x scale

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.