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Finding the Fourth Proportional to 194,375.48, 290,904.90 and 119,543.10

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Solution

The fourth proportional to 194,375.48, 290,904.90 and 119,543.10 is: 178,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,375.48 : 290,904.90 = 119,543.10 : x
  2. Step 2: Convert to fraction form
    194,375.48/290,904.90 = 119,543.10/x
  3. Step 3: Cross multiply
    194,375.48x = 290,904.90 × 119,543.10
  4. Step 4: Simplify right side
    194,375.48x = 34,775,673,551.19
  5. Step 5: Solve for x
    x = 34,775,673,551.19/194,375.48
  6. Step 6: Final answer
    x = 178,909.78

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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.