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Finding the Fourth Proportional to 201,106.34, 301,659.24 and 51,346.64

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Solution

The fourth proportional to 201,106.34, 301,659.24 and 51,346.64 is: 77,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,106.34 : 301,659.24 = 51,346.64 : x
  2. Step 2: Convert to fraction form
    201,106.34/301,659.24 = 51,346.64/x
  3. Step 3: Cross multiply
    201,106.34x = 301,659.24 × 51,346.64
  4. Step 4: Simplify right side
    201,106.34x = 15,489,188,398.95
  5. Step 5: Solve for x
    x = 15,489,188,398.95/201,106.34
  6. Step 6: Final answer
    x = 77,019.89

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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.