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Finding the Fourth Proportional to 104,912.42, 157,415.15 and 54,980.66

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Solution

The fourth proportional to 104,912.42, 157,415.15 and 54,980.66 is: 82,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,912.42 : 157,415.15 = 54,980.66 : x
  2. Step 2: Convert to fraction form
    104,912.42/157,415.15 = 54,980.66/x
  3. Step 3: Cross multiply
    104,912.42x = 157,415.15 × 54,980.66
  4. Step 4: Simplify right side
    104,912.42x = 8,654,787,779.02
  5. Step 5: Solve for x
    x = 8,654,787,779.02/104,912.42
  6. Step 6: Final answer
    x = 82,495.36

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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.