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Finding the Fourth Proportional to 201,146.04, 301,757.94 and 68,047.92

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Solution

The fourth proportional to 201,146.04, 301,757.94 and 68,047.92 is: 102,085.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,146.04 : 301,757.94 = 68,047.92 : x
  2. Step 2: Convert to fraction form
    201,146.04/301,757.94 = 68,047.92/x
  3. Step 3: Cross multiply
    201,146.04x = 301,757.94 × 68,047.92
  4. Step 4: Simplify right side
    201,146.04x = 20,534,000,160.48
  5. Step 5: Solve for x
    x = 20,534,000,160.48/201,146.04
  6. Step 6: Final answer
    x = 102,085.03

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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.