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Finding the Fourth Proportional to 194,745.80, 292,118.70 and 166,205.45

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Solution

The fourth proportional to 194,745.80, 292,118.70 and 166,205.45 is: 249,308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,745.80 : 292,118.70 = 166,205.45 : x
  2. Step 2: Convert to fraction form
    194,745.80/292,118.70 = 166,205.45/x
  3. Step 3: Cross multiply
    194,745.80x = 292,118.70 × 166,205.45
  4. Step 4: Simplify right side
    194,745.80x = 48,551,719,986.92
  5. Step 5: Solve for x
    x = 48,551,719,986.92/194,745.80
  6. Step 6: Final answer
    x = 249,308.18

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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.