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Finding the Fourth Proportional to 194,175.80, 291,305.30 and 109,975.76

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Solution

The fourth proportional to 194,175.80, 291,305.30 and 109,975.76 is: 164,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,175.80 : 291,305.30 = 109,975.76 : x
  2. Step 2: Convert to fraction form
    194,175.80/291,305.30 = 109,975.76/x
  3. Step 3: Cross multiply
    194,175.80x = 291,305.30 × 109,975.76
  4. Step 4: Simplify right side
    194,175.80x = 32,036,521,759.53
  5. Step 5: Solve for x
    x = 32,036,521,759.53/194,175.80
  6. Step 6: Final answer
    x = 164,987.20

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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.