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Finding the Fourth Proportional to 201,906.65, 302,574.23 and 111,988.95

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Solution

The fourth proportional to 201,906.65, 302,574.23 and 111,988.95 is: 167,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906.65 : 302,574.23 = 111,988.95 : x
  2. Step 2: Convert to fraction form
    201,906.65/302,574.23 = 111,988.95/x
  3. Step 3: Cross multiply
    201,906.65x = 302,574.23 × 111,988.95
  4. Step 4: Simplify right side
    201,906.65x = 33,884,970,314.76
  5. Step 5: Solve for x
    x = 33,884,970,314.76/201,906.65
  6. Step 6: Final answer
    x = 167,824.93

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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.