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Finding the Fourth Proportional to 271,812.60, 407,718.76 and 84,824.10

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Solution

The fourth proportional to 271,812.60, 407,718.76 and 84,824.10 is: 127,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,812.60 : 407,718.76 = 84,824.10 : x
  2. Step 2: Convert to fraction form
    271,812.60/407,718.76 = 84,824.10/x
  3. Step 3: Cross multiply
    271,812.60x = 407,718.76 × 84,824.10
  4. Step 4: Simplify right side
    271,812.60x = 34,584,376,870.12
  5. Step 5: Solve for x
    x = 34,584,376,870.12/271,812.60
  6. Step 6: Final answer
    x = 127,236.11

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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.