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Finding the Fourth Proportional to 201,698.60, 302,591.10 and 61,471.40

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Solution

The fourth proportional to 201,698.60, 302,591.10 and 61,471.40 is: 92,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698.60 : 302,591.10 = 61,471.40 : x
  2. Step 2: Convert to fraction form
    201,698.60/302,591.10 = 61,471.40/x
  3. Step 3: Cross multiply
    201,698.60x = 302,591.10 × 61,471.40
  4. Step 4: Simplify right side
    201,698.60x = 18,600,698,544.54
  5. Step 5: Solve for x
    x = 18,600,698,544.54/201,698.60
  6. Step 6: Final answer
    x = 92,220.27

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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.