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Finding the Fourth Proportional to 200,745.84, 301,173.84 and 163,212.60

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Solution

The fourth proportional to 200,745.84, 301,173.84 and 163,212.60 is: 244,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,745.84 : 301,173.84 = 163,212.60 : x
  2. Step 2: Convert to fraction form
    200,745.84/301,173.84 = 163,212.60/x
  3. Step 3: Cross multiply
    200,745.84x = 301,173.84 × 163,212.60
  4. Step 4: Simplify right side
    200,745.84x = 49,155,365,478.38
  5. Step 5: Solve for x
    x = 49,155,365,478.38/200,745.84
  6. Step 6: Final answer
    x = 244,863.68

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1.5x scale

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.