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Finding the Fourth Proportional to 194,611.08, 268,563.22 and 105,187.08

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Solution

The fourth proportional to 194,611.08, 268,563.22 and 105,187.08 is: 145,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,611.08 : 268,563.22 = 105,187.08 : x
  2. Step 2: Convert to fraction form
    194,611.08/268,563.22 = 105,187.08/x
  3. Step 3: Cross multiply
    194,611.08x = 268,563.22 × 105,187.08
  4. Step 4: Simplify right side
    194,611.08x = 28,249,380,907.20
  5. Step 5: Solve for x
    x = 28,249,380,907.20/194,611.08
  6. Step 6: Final answer
    x = 145,158.13

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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.