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Finding the Fourth Proportional to 100,742.72, 151,114.08 and 41,513.34

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Solution

The fourth proportional to 100,742.72, 151,114.08 and 41,513.34 is: 62,270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,742.72 : 151,114.08 = 41,513.34 : x
  2. Step 2: Convert to fraction form
    100,742.72/151,114.08 = 41,513.34/x
  3. Step 3: Cross multiply
    100,742.72x = 151,114.08 × 41,513.34
  4. Step 4: Simplify right side
    100,742.72x = 6,273,250,181.83
  5. Step 5: Solve for x
    x = 6,273,250,181.83/100,742.72
  6. Step 6: Final answer
    x = 62,270.01

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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.