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Finding the Fourth Proportional to 274,340.70, 411,316.65 and 105,795.90

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Solution

The fourth proportional to 274,340.70, 411,316.65 and 105,795.90 is: 158,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,340.70 : 411,316.65 = 105,795.90 : x
  2. Step 2: Convert to fraction form
    274,340.70/411,316.65 = 105,795.90/x
  3. Step 3: Cross multiply
    274,340.70x = 411,316.65 × 105,795.90
  4. Step 4: Simplify right side
    274,340.70x = 43,515,615,171.74
  5. Step 5: Solve for x
    x = 43,515,615,171.74/274,340.70
  6. Step 6: Final answer
    x = 158,618.88

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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.