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Finding the Fourth Proportional to 201,338.22, 302,008.14 and 61,098.06

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Solution

The fourth proportional to 201,338.22, 302,008.14 and 61,098.06 is: 91,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,338.22 : 302,008.14 = 61,098.06 : x
  2. Step 2: Convert to fraction form
    201,338.22/302,008.14 = 61,098.06/x
  3. Step 3: Cross multiply
    201,338.22x = 302,008.14 × 61,098.06
  4. Step 4: Simplify right side
    201,338.22x = 18,452,111,458.21
  5. Step 5: Solve for x
    x = 18,452,111,458.21/201,338.22
  6. Step 6: Final answer
    x = 91,647.34

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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.