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Finding the Fourth Proportional to 345,806.07, 477,214.37 and 192,853.90

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Solution

The fourth proportional to 345,806.07, 477,214.37 and 192,853.90 is: 266,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,806.07 : 477,214.37 = 192,853.90 : x
  2. Step 2: Convert to fraction form
    345,806.07/477,214.37 = 192,853.90/x
  3. Step 3: Cross multiply
    345,806.07x = 477,214.37 × 192,853.90
  4. Step 4: Simplify right side
    345,806.07x = 92,032,652,390.54
  5. Step 5: Solve for x
    x = 92,032,652,390.54/345,806.07
  6. Step 6: Final answer
    x = 266,139.49

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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.