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Finding the Fourth Proportional to 271,827.63, 407,755.53 and 69,425.64

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Solution

The fourth proportional to 271,827.63, 407,755.53 and 69,425.64 is: 104,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,827.63 : 407,755.53 = 69,425.64 : x
  2. Step 2: Convert to fraction form
    271,827.63/407,755.53 = 69,425.64/x
  3. Step 3: Cross multiply
    271,827.63x = 407,755.53 × 69,425.64
  4. Step 4: Simplify right side
    271,827.63x = 28,308,688,633.79
  5. Step 5: Solve for x
    x = 28,308,688,633.79/271,827.63
  6. Step 6: Final answer
    x = 104,142.06

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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.