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Finding the Fourth Proportional to 194,419.89, 291,629.81 and 46,675.89

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Solution

The fourth proportional to 194,419.89, 291,629.81 and 46,675.89 is: 70,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,419.89 : 291,629.81 = 46,675.89 : x
  2. Step 2: Convert to fraction form
    194,419.89/291,629.81 = 46,675.89/x
  3. Step 3: Cross multiply
    194,419.89x = 291,629.81 × 46,675.89
  4. Step 4: Simplify right side
    194,419.89x = 13,612,080,698.90
  5. Step 5: Solve for x
    x = 13,612,080,698.90/194,419.89
  6. Step 6: Final answer
    x = 70,013.83

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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.