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Finding the Fourth Proportional to 188,554.72, 282,845.04 and 55,438.24

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Solution

The fourth proportional to 188,554.72, 282,845.04 and 55,438.24 is: 83,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,554.72 : 282,845.04 = 55,438.24 : x
  2. Step 2: Convert to fraction form
    188,554.72/282,845.04 = 55,438.24/x
  3. Step 3: Cross multiply
    188,554.72x = 282,845.04 × 55,438.24
  4. Step 4: Simplify right side
    188,554.72x = 15,680,431,210.33
  5. Step 5: Solve for x
    x = 15,680,431,210.33/188,554.72
  6. Step 6: Final answer
    x = 83,161.17

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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.