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Finding the Fourth Proportional to 194,215.20, 291,322.80 and 176,704.80

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Solution

The fourth proportional to 194,215.20, 291,322.80 and 176,704.80 is: 265,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,215.20 : 291,322.80 = 176,704.80 : x
  2. Step 2: Convert to fraction form
    194,215.20/291,322.80 = 176,704.80/x
  3. Step 3: Cross multiply
    194,215.20x = 291,322.80 × 176,704.80
  4. Step 4: Simplify right side
    194,215.20x = 51,478,137,109.44
  5. Step 5: Solve for x
    x = 51,478,137,109.44/194,215.20
  6. Step 6: Final answer
    x = 265,057.20

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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.