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Finding the Fourth Proportional to 201,874.40, 302,738.70 and 102,001.40

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Solution

The fourth proportional to 201,874.40, 302,738.70 and 102,001.40 is: 152,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,874.40 : 302,738.70 = 102,001.40 : x
  2. Step 2: Convert to fraction form
    201,874.40/302,738.70 = 102,001.40/x
  3. Step 3: Cross multiply
    201,874.40x = 302,738.70 × 102,001.40
  4. Step 4: Simplify right side
    201,874.40x = 30,879,771,234.18
  5. Step 5: Solve for x
    x = 30,879,771,234.18/201,874.40
  6. Step 6: Final answer
    x = 152,965.27

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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.