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Finding the Fourth Proportional to 194,114.34, 291,171.42 and 53,872.92

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Solution

The fourth proportional to 194,114.34, 291,171.42 and 53,872.92 is: 80,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,114.34 : 291,171.42 = 53,872.92 : x
  2. Step 2: Convert to fraction form
    194,114.34/291,171.42 = 53,872.92/x
  3. Step 3: Cross multiply
    194,114.34x = 291,171.42 × 53,872.92
  4. Step 4: Simplify right side
    194,114.34x = 15,686,254,615.95
  5. Step 5: Solve for x
    x = 15,686,254,615.95/194,114.34
  6. Step 6: Final answer
    x = 80,809.36

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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.