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Finding the Fourth Proportional to 273,308.40, 410,039.40 and 133,071.60

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Solution

The fourth proportional to 273,308.40, 410,039.40 and 133,071.60 is: 199,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,308.40 : 410,039.40 = 133,071.60 : x
  2. Step 2: Convert to fraction form
    273,308.40/410,039.40 = 133,071.60/x
  3. Step 3: Cross multiply
    273,308.40x = 410,039.40 × 133,071.60
  4. Step 4: Simplify right side
    273,308.40x = 54,564,599,021.04
  5. Step 5: Solve for x
    x = 54,564,599,021.04/273,308.40
  6. Step 6: Final answer
    x = 199,644.79

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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.