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Finding the Fourth Proportional to 201,313.78, 301,782.93 and 68,101.36

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Solution

The fourth proportional to 201,313.78, 301,782.93 and 68,101.36 is: 102,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,313.78 : 301,782.93 = 68,101.36 : x
  2. Step 2: Convert to fraction form
    201,313.78/301,782.93 = 68,101.36/x
  3. Step 3: Cross multiply
    201,313.78x = 301,782.93 × 68,101.36
  4. Step 4: Simplify right side
    201,313.78x = 20,551,827,957.78
  5. Step 5: Solve for x
    x = 20,551,827,957.78/201,313.78
  6. Step 6: Final answer
    x = 102,088.53

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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.