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Finding the Fourth Proportional to 271,812.10, 407,718.01 and 84,823.60

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Solution

The fourth proportional to 271,812.10, 407,718.01 and 84,823.60 is: 127,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,812.10 : 407,718.01 = 84,823.60 : x
  2. Step 2: Convert to fraction form
    271,812.10/407,718.01 = 84,823.60/x
  3. Step 3: Cross multiply
    271,812.10x = 407,718.01 × 84,823.60
  4. Step 4: Simplify right side
    271,812.10x = 34,584,109,393.04
  5. Step 5: Solve for x
    x = 34,584,109,393.04/271,812.10
  6. Step 6: Final answer
    x = 127,235.36

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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.