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Finding the Fourth Proportional to 201,338.77, 302,009.97 and 61,097.39

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Solution

The fourth proportional to 201,338.77, 302,009.97 and 61,097.39 is: 91,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,338.77 : 302,009.97 = 61,097.39 : x
  2. Step 2: Convert to fraction form
    201,338.77/302,009.97 = 61,097.39/x
  3. Step 3: Cross multiply
    201,338.77x = 302,009.97 × 61,097.39
  4. Step 4: Simplify right side
    201,338.77x = 18,452,021,676.00
  5. Step 5: Solve for x
    x = 18,452,021,676.00/201,338.77
  6. Step 6: Final answer
    x = 91,646.64

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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.