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Finding the Fourth Proportional to 194,560.25, 268,493.15 and 105,136.25

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Solution

The fourth proportional to 194,560.25, 268,493.15 and 105,136.25 is: 145,088.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,560.25 : 268,493.15 = 105,136.25 : x
  2. Step 2: Convert to fraction form
    194,560.25/268,493.15 = 105,136.25/x
  3. Step 3: Cross multiply
    194,560.25x = 268,493.15 × 105,136.25
  4. Step 4: Simplify right side
    194,560.25x = 28,228,362,941.69
  5. Step 5: Solve for x
    x = 28,228,362,941.69/194,560.25
  6. Step 6: Final answer
    x = 145,088.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.