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Finding the Fourth Proportional to 271,821.60, 407,732.40 and 165,533.40

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Solution

The fourth proportional to 271,821.60, 407,732.40 and 165,533.40 is: 248,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,821.60 : 407,732.40 = 165,533.40 : x
  2. Step 2: Convert to fraction form
    271,821.60/407,732.40 = 165,533.40/x
  3. Step 3: Cross multiply
    271,821.60x = 407,732.40 × 165,533.40
  4. Step 4: Simplify right side
    271,821.60x = 67,493,330,462.16
  5. Step 5: Solve for x
    x = 67,493,330,462.16/271,821.60
  6. Step 6: Final answer
    x = 248,300.10

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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.