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Finding the Fourth Proportional to 201,290.96, 301,949.40 and 118,010

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Solution

The fourth proportional to 201,290.96, 301,949.40 and 118,010 is: 177,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,290.96 : 301,949.40 = 118,010 : x
  2. Step 2: Convert to fraction form
    201,290.96/301,949.40 = 118,010/x
  3. Step 3: Cross multiply
    201,290.96x = 301,949.40 × 118,010
  4. Step 4: Simplify right side
    201,290.96x = 35,633,048,694
  5. Step 5: Solve for x
    x = 35,633,048,694/201,290.96
  6. Step 6: Final answer
    x = 177,022.60

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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.