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Finding the Fourth Proportional to 194,465.65, 291,206.40 and 185,608.30

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Solution

The fourth proportional to 194,465.65, 291,206.40 and 185,608.30 is: 277,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,465.65 : 291,206.40 = 185,608.30 : x
  2. Step 2: Convert to fraction form
    194,465.65/291,206.40 = 185,608.30/x
  3. Step 3: Cross multiply
    194,465.65x = 291,206.40 × 185,608.30
  4. Step 4: Simplify right side
    194,465.65x = 54,050,324,853.12
  5. Step 5: Solve for x
    x = 54,050,324,853.12/194,465.65
  6. Step 6: Final answer
    x = 277,942.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.