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Finding the Fourth Proportional to 201,093.60, 301,834.80 and 101,366.40

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Solution

The fourth proportional to 201,093.60, 301,834.80 and 101,366.40 is: 152,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,093.60 : 301,834.80 = 101,366.40 : x
  2. Step 2: Convert to fraction form
    201,093.60/301,834.80 = 101,366.40/x
  3. Step 3: Cross multiply
    201,093.60x = 301,834.80 × 101,366.40
  4. Step 4: Simplify right side
    201,093.60x = 30,595,907,070.72
  5. Step 5: Solve for x
    x = 30,595,907,070.72/201,093.60
  6. Step 6: Final answer
    x = 152,147.59

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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.