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Finding the Fourth Proportional to 194,643.44, 291,751.86 and 76,184.60

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Solution

The fourth proportional to 194,643.44, 291,751.86 and 76,184.60 is: 114,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,643.44 : 291,751.86 = 76,184.60 : x
  2. Step 2: Convert to fraction form
    194,643.44/291,751.86 = 76,184.60/x
  3. Step 3: Cross multiply
    194,643.44x = 291,751.86 × 76,184.60
  4. Step 4: Simplify right side
    194,643.44x = 22,226,998,753.36
  5. Step 5: Solve for x
    x = 22,226,998,753.36/194,643.44
  6. Step 6: Final answer
    x = 114,193.41

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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.