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Finding the Fourth Proportional to 201,366, 301,860.24 and 68,153.04

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Solution

The fourth proportional to 201,366, 301,860.24 and 68,153.04 is: 102,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,366 : 301,860.24 = 68,153.04 : x
  2. Step 2: Convert to fraction form
    201,366/301,860.24 = 68,153.04/x
  3. Step 3: Cross multiply
    201,366x = 301,860.24 × 68,153.04
  4. Step 4: Simplify right side
    201,366x = 20,572,693,011.13
  5. Step 5: Solve for x
    x = 20,572,693,011.13/201,366
  6. Step 6: Final answer
    x = 102,165.67

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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.