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Finding the Fourth Proportional to 200,940.35, 277,282.44 and 110,281.91

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Solution

The fourth proportional to 200,940.35, 277,282.44 and 110,281.91 is: 152,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,940.35 : 277,282.44 = 110,281.91 : x
  2. Step 2: Convert to fraction form
    200,940.35/277,282.44 = 110,281.91/x
  3. Step 3: Cross multiply
    200,940.35x = 277,282.44 × 110,281.91
  4. Step 4: Simplify right side
    200,940.35x = 30,579,235,706.25
  5. Step 5: Solve for x
    x = 30,579,235,706.25/200,940.35
  6. Step 6: Final answer
    x = 152,180.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.