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Finding the Fourth Proportional to 194,824.30, 291,978.10 and 100,050.65

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Solution

The fourth proportional to 194,824.30, 291,978.10 and 100,050.65 is: 149,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,824.30 : 291,978.10 = 100,050.65 : x
  2. Step 2: Convert to fraction form
    194,824.30/291,978.10 = 100,050.65/x
  3. Step 3: Cross multiply
    194,824.30x = 291,978.10 × 100,050.65
  4. Step 4: Simplify right side
    194,824.30x = 29,212,598,690.77
  5. Step 5: Solve for x
    x = 29,212,598,690.77/194,824.30
  6. Step 6: Final answer
    x = 149,943.31

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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.