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Finding the Fourth Proportional to 194,464.10, 291,696.15 and 177,842.90

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Solution

The fourth proportional to 194,464.10, 291,696.15 and 177,842.90 is: 266,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,464.10 : 291,696.15 = 177,842.90 : x
  2. Step 2: Convert to fraction form
    194,464.10/291,696.15 = 177,842.90/x
  3. Step 3: Cross multiply
    194,464.10x = 291,696.15 × 177,842.90
  4. Step 4: Simplify right side
    194,464.10x = 51,876,089,234.84
  5. Step 5: Solve for x
    x = 51,876,089,234.84/194,464.10
  6. Step 6: Final answer
    x = 266,764.35

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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.