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Finding the Fourth Proportional to 200,754.26, 277,064.01 and 120,181.76

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Solution

The fourth proportional to 200,754.26, 277,064.01 and 120,181.76 is: 165,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,754.26 : 277,064.01 = 120,181.76 : x
  2. Step 2: Convert to fraction form
    200,754.26/277,064.01 = 120,181.76/x
  3. Step 3: Cross multiply
    200,754.26x = 277,064.01 × 120,181.76
  4. Step 4: Simplify right side
    200,754.26x = 33,298,038,969.14
  5. Step 5: Solve for x
    x = 33,298,038,969.14/200,754.26
  6. Step 6: Final answer
    x = 165,864.67

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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.