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Finding the Fourth Proportional to 200,873.76, 277,204.98 and 110,231.24

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Solution

The fourth proportional to 200,873.76, 277,204.98 and 110,231.24 is: 152,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,873.76 : 277,204.98 = 110,231.24 : x
  2. Step 2: Convert to fraction form
    200,873.76/277,204.98 = 110,231.24/x
  3. Step 3: Cross multiply
    200,873.76x = 277,204.98 × 110,231.24
  4. Step 4: Simplify right side
    200,873.76x = 30,556,648,679.58
  5. Step 5: Solve for x
    x = 30,556,648,679.58/200,873.76
  6. Step 6: Final answer
    x = 152,118.67

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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.