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Finding the Fourth Proportional to 194,855.10, 292,291.14 and 61,745.16

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Solution

The fourth proportional to 194,855.10, 292,291.14 and 61,745.16 is: 92,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,855.10 : 292,291.14 = 61,745.16 : x
  2. Step 2: Convert to fraction form
    194,855.10/292,291.14 = 61,745.16/x
  3. Step 3: Cross multiply
    194,855.10x = 292,291.14 × 61,745.16
  4. Step 4: Simplify right side
    194,855.10x = 18,047,563,205.88
  5. Step 5: Solve for x
    x = 18,047,563,205.88/194,855.10
  6. Step 6: Final answer
    x = 92,620.43

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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.