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Finding the Fourth Proportional to 201,944.67, 302,971.55 and 61,699.47

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Solution

The fourth proportional to 201,944.67, 302,971.55 and 61,699.47 is: 92,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,944.67 : 302,971.55 = 61,699.47 : x
  2. Step 2: Convert to fraction form
    201,944.67/302,971.55 = 61,699.47/x
  3. Step 3: Cross multiply
    201,944.67x = 302,971.55 × 61,699.47
  4. Step 4: Simplify right side
    201,944.67x = 18,693,183,751.58
  5. Step 5: Solve for x
    x = 18,693,183,751.58/201,944.67
  6. Step 6: Final answer
    x = 92,565.87

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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.