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Finding the Fourth Proportional to 201,899.67, 302,461.40 and 112,883.22

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Solution

The fourth proportional to 201,899.67, 302,461.40 and 112,883.22 is: 169,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,899.67 : 302,461.40 = 112,883.22 : x
  2. Step 2: Convert to fraction form
    201,899.67/302,461.40 = 112,883.22/x
  3. Step 3: Cross multiply
    201,899.67x = 302,461.40 × 112,883.22
  4. Step 4: Simplify right side
    201,899.67x = 34,142,816,757.71
  5. Step 5: Solve for x
    x = 34,142,816,757.71/201,899.67
  6. Step 6: Final answer
    x = 169,107.84

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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.