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Finding the Fourth Proportional to 119,289.21, 164,614.93 and 65,573.84

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Solution

The fourth proportional to 119,289.21, 164,614.93 and 65,573.84 is: 90,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,289.21 : 164,614.93 = 65,573.84 : x
  2. Step 2: Convert to fraction form
    119,289.21/164,614.93 = 65,573.84/x
  3. Step 3: Cross multiply
    119,289.21x = 164,614.93 × 65,573.84
  4. Step 4: Simplify right side
    119,289.21x = 10,794,431,930.49
  5. Step 5: Solve for x
    x = 10,794,431,930.49/119,289.21
  6. Step 6: Final answer
    x = 90,489.60

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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.