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Finding the Fourth Proportional to 190,584, 285,888.24 and 50,339.04

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Solution

The fourth proportional to 190,584, 285,888.24 and 50,339.04 is: 75,511.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,584 : 285,888.24 = 50,339.04 : x
  2. Step 2: Convert to fraction form
    190,584/285,888.24 = 50,339.04/x
  3. Step 3: Cross multiply
    190,584x = 285,888.24 × 50,339.04
  4. Step 4: Simplify right side
    190,584x = 14,391,339,548.89
  5. Step 5: Solve for x
    x = 14,391,339,548.89/190,584
  6. Step 6: Final answer
    x = 75,511.79

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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.