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Finding the Fourth Proportional to 271,883.40, 407,825.10 and 165,595.20

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Solution

The fourth proportional to 271,883.40, 407,825.10 and 165,595.20 is: 248,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,883.40 : 407,825.10 = 165,595.20 : x
  2. Step 2: Convert to fraction form
    271,883.40/407,825.10 = 165,595.20/x
  3. Step 3: Cross multiply
    271,883.40x = 407,825.10 × 165,595.20
  4. Step 4: Simplify right side
    271,883.40x = 67,533,878,999.52
  5. Step 5: Solve for x
    x = 67,533,878,999.52/271,883.40
  6. Step 6: Final answer
    x = 248,392.80

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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.