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Finding the Fourth Proportional to 194,065.92, 291,006.72 and 67,690.83

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Solution

The fourth proportional to 194,065.92, 291,006.72 and 67,690.83 is: 101,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,065.92 : 291,006.72 = 67,690.83 : x
  2. Step 2: Convert to fraction form
    194,065.92/291,006.72 = 67,690.83/x
  3. Step 3: Cross multiply
    194,065.92x = 291,006.72 × 67,690.83
  4. Step 4: Simplify right side
    194,065.92x = 19,698,486,412.38
  5. Step 5: Solve for x
    x = 19,698,486,412.38/194,065.92
  6. Step 6: Final answer
    x = 101,504.10

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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.