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Finding the Fourth Proportional to 227,585.40, 341,378.10 and 122,609.40

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Solution

The fourth proportional to 227,585.40, 341,378.10 and 122,609.40 is: 183,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,585.40 : 341,378.10 = 122,609.40 : x
  2. Step 2: Convert to fraction form
    227,585.40/341,378.10 = 122,609.40/x
  3. Step 3: Cross multiply
    227,585.40x = 341,378.10 × 122,609.40
  4. Step 4: Simplify right side
    227,585.40x = 41,856,164,014.14
  5. Step 5: Solve for x
    x = 41,856,164,014.14/227,585.40
  6. Step 6: Final answer
    x = 183,914.10

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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.