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Finding the Fourth Proportional to 201,064.82, 277,577.17 and 155,023.90

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Solution

The fourth proportional to 201,064.82, 277,577.17 and 155,023.90 is: 214,016.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,064.82 : 277,577.17 = 155,023.90 : x
  2. Step 2: Convert to fraction form
    201,064.82/277,577.17 = 155,023.90/x
  3. Step 3: Cross multiply
    201,064.82x = 277,577.17 × 155,023.90
  4. Step 4: Simplify right side
    201,064.82x = 43,031,094,362.86
  5. Step 5: Solve for x
    x = 43,031,094,362.86/201,064.82
  6. Step 6: Final answer
    x = 214,016.03

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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.