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Finding the Fourth Proportional to 227,823.40, 341,735.10 and 61,611.40

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Solution

The fourth proportional to 227,823.40, 341,735.10 and 61,611.40 is: 92,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,823.40 : 341,735.10 = 61,611.40 : x
  2. Step 2: Convert to fraction form
    227,823.40/341,735.10 = 61,611.40/x
  3. Step 3: Cross multiply
    227,823.40x = 341,735.10 × 61,611.40
  4. Step 4: Simplify right side
    227,823.40x = 21,054,777,940.14
  5. Step 5: Solve for x
    x = 21,054,777,940.14/227,823.40
  6. Step 6: Final answer
    x = 92,417.10

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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.