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Finding the Fourth Proportional to 201,891.67, 302,449.40 and 112,875.22

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Solution

The fourth proportional to 201,891.67, 302,449.40 and 112,875.22 is: 169,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,891.67 : 302,449.40 = 112,875.22 : x
  2. Step 2: Convert to fraction form
    201,891.67/302,449.40 = 112,875.22/x
  3. Step 3: Cross multiply
    201,891.67x = 302,449.40 × 112,875.22
  4. Step 4: Simplify right side
    201,891.67x = 34,139,042,563.87
  5. Step 5: Solve for x
    x = 34,139,042,563.87/201,891.67
  6. Step 6: Final answer
    x = 169,095.85

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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.