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Finding the Fourth Proportional to 254,751.74, 382,127.60 and 114,346.34

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Solution

The fourth proportional to 254,751.74, 382,127.60 and 114,346.34 is: 171,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,751.74 : 382,127.60 = 114,346.34 : x
  2. Step 2: Convert to fraction form
    254,751.74/382,127.60 = 114,346.34/x
  3. Step 3: Cross multiply
    254,751.74x = 382,127.60 × 114,346.34
  4. Step 4: Simplify right side
    254,751.74x = 43,694,889,990.61
  5. Step 5: Solve for x
    x = 43,694,889,990.61/254,751.74
  6. Step 6: Final answer
    x = 171,519.50

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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.