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Finding the Fourth Proportional to 194,699.67, 268,807.18 and 149,290.42

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Solution

The fourth proportional to 194,699.67, 268,807.18 and 149,290.42 is: 206,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,699.67 : 268,807.18 = 149,290.42 : x
  2. Step 2: Convert to fraction form
    194,699.67/268,807.18 = 149,290.42/x
  3. Step 3: Cross multiply
    194,699.67x = 268,807.18 × 149,290.42
  4. Step 4: Simplify right side
    194,699.67x = 40,130,336,427.99
  5. Step 5: Solve for x
    x = 40,130,336,427.99/194,699.67
  6. Step 6: Final answer
    x = 206,114.05

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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.