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Finding the Fourth Proportional to 201,233.28, 301,455.48 and 116,816.40

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Solution

The fourth proportional to 201,233.28, 301,455.48 and 116,816.40 is: 174,995.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,233.28 : 301,455.48 = 116,816.40 : x
  2. Step 2: Convert to fraction form
    201,233.28/301,455.48 = 116,816.40/x
  3. Step 3: Cross multiply
    201,233.28x = 301,455.48 × 116,816.40
  4. Step 4: Simplify right side
    201,233.28x = 35,214,943,933.87
  5. Step 5: Solve for x
    x = 35,214,943,933.87/201,233.28
  6. Step 6: Final answer
    x = 174,995.63

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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.