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Finding the Fourth Proportional to 200,725.30, 301,088.46 and 67,699

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Solution

The fourth proportional to 200,725.30, 301,088.46 and 67,699 is: 101,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,725.30 : 301,088.46 = 67,699 : x
  2. Step 2: Convert to fraction form
    200,725.30/301,088.46 = 67,699/x
  3. Step 3: Cross multiply
    200,725.30x = 301,088.46 × 67,699
  4. Step 4: Simplify right side
    200,725.30x = 20,383,387,653.54
  5. Step 5: Solve for x
    x = 20,383,387,653.54/200,725.30
  6. Step 6: Final answer
    x = 101,548.67

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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.