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Finding the Fourth Proportional to 201,104.60, 301,743.30 and 102,608.60

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Solution

The fourth proportional to 201,104.60, 301,743.30 and 102,608.60 is: 153,956.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,104.60 : 301,743.30 = 102,608.60 : x
  2. Step 2: Convert to fraction form
    201,104.60/301,743.30 = 102,608.60/x
  3. Step 3: Cross multiply
    201,104.60x = 301,743.30 × 102,608.60
  4. Step 4: Simplify right side
    201,104.60x = 30,961,457,572.38
  5. Step 5: Solve for x
    x = 30,961,457,572.38/201,104.60
  6. Step 6: Final answer
    x = 153,956.98

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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.