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Finding the Fourth Proportional to 194,409.90, 291,614.82 and 46,665.90

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Solution

The fourth proportional to 194,409.90, 291,614.82 and 46,665.90 is: 69,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,409.90 : 291,614.82 = 46,665.90 : x
  2. Step 2: Convert to fraction form
    194,409.90/291,614.82 = 46,665.90/x
  3. Step 3: Cross multiply
    194,409.90x = 291,614.82 × 46,665.90
  4. Step 4: Simplify right side
    194,409.90x = 13,608,468,028.64
  5. Step 5: Solve for x
    x = 13,608,468,028.64/194,409.90
  6. Step 6: Final answer
    x = 69,998.84

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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.