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Finding the Fourth Proportional to 201,584.67, 302,564.10 and 101,814.92

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Solution

The fourth proportional to 201,584.67, 302,564.10 and 101,814.92 is: 152,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,584.67 : 302,564.10 = 101,814.92 : x
  2. Step 2: Convert to fraction form
    201,584.67/302,564.10 = 101,814.92/x
  3. Step 3: Cross multiply
    201,584.67x = 302,564.10 × 101,814.92
  4. Step 4: Simplify right side
    201,584.67x = 30,805,539,636.37
  5. Step 5: Solve for x
    x = 30,805,539,636.37/201,584.67
  6. Step 6: Final answer
    x = 152,816.88

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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.