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Finding the Fourth Proportional to 202,914.22, 304,423.23 and 118,745.26

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Solution

The fourth proportional to 202,914.22, 304,423.23 and 118,745.26 is: 178,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,914.22 : 304,423.23 = 118,745.26 : x
  2. Step 2: Convert to fraction form
    202,914.22/304,423.23 = 118,745.26/x
  3. Step 3: Cross multiply
    202,914.22x = 304,423.23 × 118,745.26
  4. Step 4: Simplify right side
    202,914.22x = 36,148,815,596.39
  5. Step 5: Solve for x
    x = 36,148,815,596.39/202,914.22
  6. Step 6: Final answer
    x = 178,148.26

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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.