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Finding the Fourth Proportional to 133,208.58, 199,683 and 53,222.70

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Solution

The fourth proportional to 133,208.58, 199,683 and 53,222.70 is: 79,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,208.58 : 199,683 = 53,222.70 : x
  2. Step 2: Convert to fraction form
    133,208.58/199,683 = 53,222.70/x
  3. Step 3: Cross multiply
    133,208.58x = 199,683 × 53,222.70
  4. Step 4: Simplify right side
    133,208.58x = 10,627,668,404.10
  5. Step 5: Solve for x
    x = 10,627,668,404.10/133,208.58
  6. Step 6: Final answer
    x = 79,782.16

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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.