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Finding the Fourth Proportional to 194,342.61, 291,538.52 and 75,998.57

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Solution

The fourth proportional to 194,342.61, 291,538.52 and 75,998.57 is: 114,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,342.61 : 291,538.52 = 75,998.57 : x
  2. Step 2: Convert to fraction form
    194,342.61/291,538.52 = 75,998.57/x
  3. Step 3: Cross multiply
    194,342.61x = 291,538.52 × 75,998.57
  4. Step 4: Simplify right side
    194,342.61x = 22,156,511,134.62
  5. Step 5: Solve for x
    x = 22,156,511,134.62/194,342.61
  6. Step 6: Final answer
    x = 114,007.48

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1.5x scale

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.