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Finding the Fourth Proportional to 206,950.55, 310,643.01 and 183,408.71

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Solution

The fourth proportional to 206,950.55, 310,643.01 and 183,408.71 is: 275,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,950.55 : 310,643.01 = 183,408.71 : x
  2. Step 2: Convert to fraction form
    206,950.55/310,643.01 = 183,408.71/x
  3. Step 3: Cross multiply
    206,950.55x = 310,643.01 × 183,408.71
  4. Step 4: Simplify right side
    206,950.55x = 56,974,632,817.57
  5. Step 5: Solve for x
    x = 56,974,632,817.57/206,950.55
  6. Step 6: Final answer
    x = 275,305.54

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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.