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Finding the Fourth Proportional to 271,880.50, 407,907.42 and 114,066.58

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Solution

The fourth proportional to 271,880.50, 407,907.42 and 114,066.58 is: 171,136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,880.50 : 407,907.42 = 114,066.58 : x
  2. Step 2: Convert to fraction form
    271,880.50/407,907.42 = 114,066.58/x
  3. Step 3: Cross multiply
    271,880.50x = 407,907.42 × 114,066.58
  4. Step 4: Simplify right side
    271,880.50x = 46,528,604,356.02
  5. Step 5: Solve for x
    x = 46,528,604,356.02/271,880.50
  6. Step 6: Final answer
    x = 171,136.23

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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.