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Finding the Fourth Proportional to 194,406.75, 291,610.13 and 46,662.75

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Solution

The fourth proportional to 194,406.75, 291,610.13 and 46,662.75 is: 69,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,406.75 : 291,610.13 = 46,662.75 : x
  2. Step 2: Convert to fraction form
    194,406.75/291,610.13 = 46,662.75/x
  3. Step 3: Cross multiply
    194,406.75x = 291,610.13 × 46,662.75
  4. Step 4: Simplify right side
    194,406.75x = 13,607,330,535.33
  5. Step 5: Solve for x
    x = 13,607,330,535.33/194,406.75
  6. Step 6: Final answer
    x = 69,994.13

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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.