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Finding the Fourth Proportional to 274,459.59, 411,452.46 and 106,097.85

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Solution

The fourth proportional to 274,459.59, 411,452.46 and 106,097.85 is: 159,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,459.59 : 411,452.46 = 106,097.85 : x
  2. Step 2: Convert to fraction form
    274,459.59/411,452.46 = 106,097.85/x
  3. Step 3: Cross multiply
    274,459.59x = 411,452.46 × 106,097.85
  4. Step 4: Simplify right side
    274,459.59x = 43,654,221,383.21
  5. Step 5: Solve for x
    x = 43,654,221,383.21/274,459.59
  6. Step 6: Final answer
    x = 159,055.19

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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.