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Finding the Fourth Proportional to 194,187.72, 290,908.44 and 119,088.93

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Solution

The fourth proportional to 194,187.72, 290,908.44 and 119,088.93 is: 178,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,187.72 : 290,908.44 = 119,088.93 : x
  2. Step 2: Convert to fraction form
    194,187.72/290,908.44 = 119,088.93/x
  3. Step 3: Cross multiply
    194,187.72x = 290,908.44 × 119,088.93
  4. Step 4: Simplify right side
    194,187.72x = 34,643,974,847.57
  5. Step 5: Solve for x
    x = 34,643,974,847.57/194,187.72
  6. Step 6: Final answer
    x = 178,404.56

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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.