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Finding the Fourth Proportional to 188,364.69, 282,549.23 and 55,247.60

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Solution

The fourth proportional to 188,364.69, 282,549.23 and 55,247.60 is: 82,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,364.69 : 282,549.23 = 55,247.60 : x
  2. Step 2: Convert to fraction form
    188,364.69/282,549.23 = 55,247.60/x
  3. Step 3: Cross multiply
    188,364.69x = 282,549.23 × 55,247.60
  4. Step 4: Simplify right side
    188,364.69x = 15,610,167,476.66
  5. Step 5: Solve for x
    x = 15,610,167,476.66/188,364.69
  6. Step 6: Final answer
    x = 82,872.05

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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.