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Finding the Fourth Proportional to 201,844.90, 302,694.45 and 101,971.90

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Solution

The fourth proportional to 201,844.90, 302,694.45 and 101,971.90 is: 152,921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,844.90 : 302,694.45 = 101,971.90 : x
  2. Step 2: Convert to fraction form
    201,844.90/302,694.45 = 101,971.90/x
  3. Step 3: Cross multiply
    201,844.90x = 302,694.45 × 101,971.90
  4. Step 4: Simplify right side
    201,844.90x = 30,866,328,185.96
  5. Step 5: Solve for x
    x = 30,866,328,185.96/201,844.90
  6. Step 6: Final answer
    x = 152,921.02

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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.