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Finding the Fourth Proportional to 194,937.20, 292,405.80 and 111,993.20

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Solution

The fourth proportional to 194,937.20, 292,405.80 and 111,993.20 is: 167,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,937.20 : 292,405.80 = 111,993.20 : x
  2. Step 2: Convert to fraction form
    194,937.20/292,405.80 = 111,993.20/x
  3. Step 3: Cross multiply
    194,937.20x = 292,405.80 × 111,993.20
  4. Step 4: Simplify right side
    194,937.20x = 32,747,461,240.56
  5. Step 5: Solve for x
    x = 32,747,461,240.56/194,937.20
  6. Step 6: Final answer
    x = 167,989.80

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1.5x scale

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.