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Finding the Fourth Proportional to 188,122.23, 282,209.81 and 55,012.50

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Solution

The fourth proportional to 188,122.23, 282,209.81 and 55,012.50 is: 82,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,122.23 : 282,209.81 = 55,012.50 : x
  2. Step 2: Convert to fraction form
    188,122.23/282,209.81 = 55,012.50/x
  3. Step 3: Cross multiply
    188,122.23x = 282,209.81 × 55,012.50
  4. Step 4: Simplify right side
    188,122.23x = 15,525,066,897.56
  5. Step 5: Solve for x
    x = 15,525,066,897.56/188,122.23
  6. Step 6: Final answer
    x = 82,526.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.