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Finding the Fourth Proportional to 349,089.90, 523,485.81 and 132,806.94

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Solution

The fourth proportional to 349,089.90, 523,485.81 and 132,806.94 is: 199,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,089.90 : 523,485.81 = 132,806.94 : x
  2. Step 2: Convert to fraction form
    349,089.90/523,485.81 = 132,806.94/x
  3. Step 3: Cross multiply
    349,089.90x = 523,485.81 × 132,806.94
  4. Step 4: Simplify right side
    349,089.90x = 69,522,548,559.52
  5. Step 5: Solve for x
    x = 69,522,548,559.52/349,089.90
  6. Step 6: Final answer
    x = 199,153.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.