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Finding the Fourth Proportional to 254,620, 382,014.24 and 136,264.96

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Solution

The fourth proportional to 254,620, 382,014.24 and 136,264.96 is: 204,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,620 : 382,014.24 = 136,264.96 : x
  2. Step 2: Convert to fraction form
    254,620/382,014.24 = 136,264.96/x
  3. Step 3: Cross multiply
    254,620x = 382,014.24 × 136,264.96
  4. Step 4: Simplify right side
    254,620x = 52,055,155,133.03
  5. Step 5: Solve for x
    x = 52,055,155,133.03/254,620
  6. Step 6: Final answer
    x = 204,442.52

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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.