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Finding the Fourth Proportional to 201,617, 302,338.14 and 61,343.08

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Solution

The fourth proportional to 201,617, 302,338.14 and 61,343.08 is: 91,988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,617 : 302,338.14 = 61,343.08 : x
  2. Step 2: Convert to fraction form
    201,617/302,338.14 = 61,343.08/x
  3. Step 3: Cross multiply
    201,617x = 302,338.14 × 61,343.08
  4. Step 4: Simplify right side
    201,617x = 18,546,352,709.07
  5. Step 5: Solve for x
    x = 18,546,352,709.07/201,617
  6. Step 6: Final answer
    x = 91,988.04

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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.