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Finding the Fourth Proportional to 201,793.80, 302,690.70 and 149,435.40

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Solution

The fourth proportional to 201,793.80, 302,690.70 and 149,435.40 is: 224,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,793.80 : 302,690.70 = 149,435.40 : x
  2. Step 2: Convert to fraction form
    201,793.80/302,690.70 = 149,435.40/x
  3. Step 3: Cross multiply
    201,793.80x = 302,690.70 × 149,435.40
  4. Step 4: Simplify right side
    201,793.80x = 45,232,705,830.78
  5. Step 5: Solve for x
    x = 45,232,705,830.78/201,793.80
  6. Step 6: Final answer
    x = 224,153.10

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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.