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Finding the Fourth Proportional to 201,834.30, 302,751.45 and 139,626.30

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Solution

The fourth proportional to 201,834.30, 302,751.45 and 139,626.30 is: 209,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,834.30 : 302,751.45 = 139,626.30 : x
  2. Step 2: Convert to fraction form
    201,834.30/302,751.45 = 139,626.30/x
  3. Step 3: Cross multiply
    201,834.30x = 302,751.45 × 139,626.30
  4. Step 4: Simplify right side
    201,834.30x = 42,272,064,783.14
  5. Step 5: Solve for x
    x = 42,272,064,783.14/201,834.30
  6. Step 6: Final answer
    x = 209,439.45

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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.