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Finding the Fourth Proportional to 209,034.55, 313,504.51 and 96,653.53

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Solution

The fourth proportional to 209,034.55, 313,504.51 and 96,653.53 is: 144,958.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,034.55 : 313,504.51 = 96,653.53 : x
  2. Step 2: Convert to fraction form
    209,034.55/313,504.51 = 96,653.53/x
  3. Step 3: Cross multiply
    209,034.55x = 313,504.51 × 96,653.53
  4. Step 4: Simplify right side
    209,034.55x = 30,301,317,562.42
  5. Step 5: Solve for x
    x = 30,301,317,562.42/209,034.55
  6. Step 6: Final answer
    x = 144,958.42

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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.