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Finding the Fourth Proportional to 194,136.90, 291,205.35 and 154,479.30

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Solution

The fourth proportional to 194,136.90, 291,205.35 and 154,479.30 is: 231,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,136.90 : 291,205.35 = 154,479.30 : x
  2. Step 2: Convert to fraction form
    194,136.90/291,205.35 = 154,479.30/x
  3. Step 3: Cross multiply
    194,136.90x = 291,205.35 × 154,479.30
  4. Step 4: Simplify right side
    194,136.90x = 44,985,198,624.26
  5. Step 5: Solve for x
    x = 44,985,198,624.26/194,136.90
  6. Step 6: Final answer
    x = 231,718.95

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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.