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Finding the Fourth Proportional to 194,076.32, 291,114.46 and 53,834.94

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Solution

The fourth proportional to 194,076.32, 291,114.46 and 53,834.94 is: 80,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,076.32 : 291,114.46 = 53,834.94 : x
  2. Step 2: Convert to fraction form
    194,076.32/291,114.46 = 53,834.94/x
  3. Step 3: Cross multiply
    194,076.32x = 291,114.46 × 53,834.94
  4. Step 4: Simplify right side
    194,076.32x = 15,672,129,487.23
  5. Step 5: Solve for x
    x = 15,672,129,487.23/194,076.32
  6. Step 6: Final answer
    x = 80,752.40

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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.