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Finding the Fourth Proportional to 201,160.69, 301,741.76 and 68,042.05

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Solution

The fourth proportional to 201,160.69, 301,741.76 and 68,042.05 is: 102,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,160.69 : 301,741.76 = 68,042.05 : x
  2. Step 2: Convert to fraction form
    201,160.69/301,741.76 = 68,042.05/x
  3. Step 3: Cross multiply
    201,160.69x = 301,741.76 × 68,042.05
  4. Step 4: Simplify right side
    201,160.69x = 20,531,127,921.01
  5. Step 5: Solve for x
    x = 20,531,127,921.01/201,160.69
  6. Step 6: Final answer
    x = 102,063.32

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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.