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Finding the Fourth Proportional to 334,771.80, 502,185.02 and 157,181.94

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Solution

The fourth proportional to 334,771.80, 502,185.02 and 157,181.94 is: 235,785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,771.80 : 502,185.02 = 157,181.94 : x
  2. Step 2: Convert to fraction form
    334,771.80/502,185.02 = 157,181.94/x
  3. Step 3: Cross multiply
    334,771.80x = 502,185.02 × 157,181.94
  4. Step 4: Simplify right side
    334,771.80x = 78,934,414,896.63
  5. Step 5: Solve for x
    x = 78,934,414,896.63/334,771.80
  6. Step 6: Final answer
    x = 235,785.73

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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.