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Finding the Fourth Proportional to 200,914.01, 301,363.70 and 81,022.67

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Solution

The fourth proportional to 200,914.01, 301,363.70 and 81,022.67 is: 121,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,914.01 : 301,363.70 = 81,022.67 : x
  2. Step 2: Convert to fraction form
    200,914.01/301,363.70 = 81,022.67/x
  3. Step 3: Cross multiply
    200,914.01x = 301,363.70 × 81,022.67
  4. Step 4: Simplify right side
    200,914.01x = 24,417,289,703.15
  5. Step 5: Solve for x
    x = 24,417,289,703.15/200,914.01
  6. Step 6: Final answer
    x = 121,531.05

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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.