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Finding the Fourth Proportional to 200,281.22, 300,431.53 and 65,345.03

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Solution

The fourth proportional to 200,281.22, 300,431.53 and 65,345.03 is: 98,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,281.22 : 300,431.53 = 65,345.03 : x
  2. Step 2: Convert to fraction form
    200,281.22/300,431.53 = 65,345.03/x
  3. Step 3: Cross multiply
    200,281.22x = 300,431.53 × 65,345.03
  4. Step 4: Simplify right side
    200,281.22x = 19,631,707,046.94
  5. Step 5: Solve for x
    x = 19,631,707,046.94/200,281.22
  6. Step 6: Final answer
    x = 98,020.71

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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.