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Finding the Fourth Proportional to 271,987.08, 407,968.16 and 94,507.98

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Solution

The fourth proportional to 271,987.08, 407,968.16 and 94,507.98 is: 141,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,987.08 : 407,968.16 = 94,507.98 : x
  2. Step 2: Convert to fraction form
    271,987.08/407,968.16 = 94,507.98/x
  3. Step 3: Cross multiply
    271,987.08x = 407,968.16 × 94,507.98
  4. Step 4: Simplify right side
    271,987.08x = 38,556,246,705.92
  5. Step 5: Solve for x
    x = 38,556,246,705.92/271,987.08
  6. Step 6: Final answer
    x = 141,757.64

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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.