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Finding the Fourth Proportional to 194,824.55, 291,978.48 and 100,050.90

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Solution

The fourth proportional to 194,824.55, 291,978.48 and 100,050.90 is: 149,943.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,824.55 : 291,978.48 = 100,050.90 : x
  2. Step 2: Convert to fraction form
    194,824.55/291,978.48 = 100,050.90/x
  3. Step 3: Cross multiply
    194,824.55x = 291,978.48 × 100,050.90
  4. Step 4: Simplify right side
    194,824.55x = 29,212,709,329.44
  5. Step 5: Solve for x
    x = 29,212,709,329.44/194,824.55
  6. Step 6: Final answer
    x = 149,943.68

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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.