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Finding the Fourth Proportional to 250,751.76, 345,741.15 and 205,262.16

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Solution

The fourth proportional to 250,751.76, 345,741.15 and 205,262.16 is: 283,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,751.76 : 345,741.15 = 205,262.16 : x
  2. Step 2: Convert to fraction form
    250,751.76/345,741.15 = 205,262.16/x
  3. Step 3: Cross multiply
    250,751.76x = 345,741.15 × 205,262.16
  4. Step 4: Simplify right side
    250,751.76x = 70,967,575,249.88
  5. Step 5: Solve for x
    x = 70,967,575,249.88/250,751.76
  6. Step 6: Final answer
    x = 283,019.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.