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Finding the Fourth Proportional to 194,405.88, 291,608.81 and 46,661.88

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Solution

The fourth proportional to 194,405.88, 291,608.81 and 46,661.88 is: 69,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,405.88 : 291,608.81 = 46,661.88 : x
  2. Step 2: Convert to fraction form
    194,405.88/291,608.81 = 46,661.88/x
  3. Step 3: Cross multiply
    194,405.88x = 291,608.81 × 46,661.88
  4. Step 4: Simplify right side
    194,405.88x = 13,607,015,299.16
  5. Step 5: Solve for x
    x = 13,607,015,299.16/194,405.88
  6. Step 6: Final answer
    x = 69,992.82

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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.