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Finding the Fourth Proportional to 254,049.76, 380,742.44 and 104,114.51

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Solution

The fourth proportional to 254,049.76, 380,742.44 and 104,114.51 is: 156,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,049.76 : 380,742.44 = 104,114.51 : x
  2. Step 2: Convert to fraction form
    254,049.76/380,742.44 = 104,114.51/x
  3. Step 3: Cross multiply
    254,049.76x = 380,742.44 × 104,114.51
  4. Step 4: Simplify right side
    254,049.76x = 39,640,810,152.52
  5. Step 5: Solve for x
    x = 39,640,810,152.52/254,049.76
  6. Step 6: Final answer
    x = 156,035.62

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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.