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Finding the Fourth Proportional to 194,448.52, 291,672.80 and 46,704.52

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Solution

The fourth proportional to 194,448.52, 291,672.80 and 46,704.52 is: 70,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,448.52 : 291,672.80 = 46,704.52 : x
  2. Step 2: Convert to fraction form
    194,448.52/291,672.80 = 46,704.52/x
  3. Step 3: Cross multiply
    194,448.52x = 291,672.80 × 46,704.52
  4. Step 4: Simplify right side
    194,448.52x = 13,622,438,121.06
  5. Step 5: Solve for x
    x = 13,622,438,121.06/194,448.52
  6. Step 6: Final answer
    x = 70,056.78

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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.