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Finding the Fourth Proportional to 201,338.90, 302,010.16 and 61,097.52

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Solution

The fourth proportional to 201,338.90, 302,010.16 and 61,097.52 is: 91,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,338.90 : 302,010.16 = 61,097.52 : x
  2. Step 2: Convert to fraction form
    201,338.90/302,010.16 = 61,097.52/x
  3. Step 3: Cross multiply
    201,338.90x = 302,010.16 × 61,097.52
  4. Step 4: Simplify right side
    201,338.90x = 18,452,071,790.80
  5. Step 5: Solve for x
    x = 18,452,071,790.80/201,338.90
  6. Step 6: Final answer
    x = 91,646.83

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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.