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Finding the Fourth Proportional to 136,574.20, 204,890.10 and 57,647.80

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Solution

The fourth proportional to 136,574.20, 204,890.10 and 57,647.80 is: 86,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,574.20 : 204,890.10 = 57,647.80 : x
  2. Step 2: Convert to fraction form
    136,574.20/204,890.10 = 57,647.80/x
  3. Step 3: Cross multiply
    136,574.20x = 204,890.10 × 57,647.80
  4. Step 4: Simplify right side
    136,574.20x = 11,811,463,506.78
  5. Step 5: Solve for x
    x = 11,811,463,506.78/136,574.20
  6. Step 6: Final answer
    x = 86,483.86

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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.