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Finding the Fourth Proportional to 201,870.29, 302,852.33 and 68,751.69

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Solution

The fourth proportional to 201,870.29, 302,852.33 and 68,751.69 is: 103,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,870.29 : 302,852.33 = 68,751.69 : x
  2. Step 2: Convert to fraction form
    201,870.29/302,852.33 = 68,751.69/x
  3. Step 3: Cross multiply
    201,870.29x = 302,852.33 × 68,751.69
  4. Step 4: Simplify right side
    201,870.29x = 20,821,608,165.56
  5. Step 5: Solve for x
    x = 20,821,608,165.56/201,870.29
  6. Step 6: Final answer
    x = 103,143.50

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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.