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Finding the Fourth Proportional to 271,851.30, 407,776.95 and 114,387.30

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Solution

The fourth proportional to 271,851.30, 407,776.95 and 114,387.30 is: 171,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,851.30 : 407,776.95 = 114,387.30 : x
  2. Step 2: Convert to fraction form
    271,851.30/407,776.95 = 114,387.30/x
  3. Step 3: Cross multiply
    271,851.30x = 407,776.95 × 114,387.30
  4. Step 4: Simplify right side
    271,851.30x = 46,644,504,312.74
  5. Step 5: Solve for x
    x = 46,644,504,312.74/271,851.30
  6. Step 6: Final answer
    x = 171,580.95

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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.