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Finding the Fourth Proportional to 274,733.60, 411,903.60 and 106,109.60

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Solution

The fourth proportional to 274,733.60, 411,903.60 and 106,109.60 is: 159,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,733.60 : 411,903.60 = 106,109.60 : x
  2. Step 2: Convert to fraction form
    274,733.60/411,903.60 = 106,109.60/x
  3. Step 3: Cross multiply
    274,733.60x = 411,903.60 × 106,109.60
  4. Step 4: Simplify right side
    274,733.60x = 43,706,926,234.56
  5. Step 5: Solve for x
    x = 43,706,926,234.56/274,733.60
  6. Step 6: Final answer
    x = 159,088.39

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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.