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Finding the Fourth Proportional to 201,201.96, 301,868.46 and 96,007.32

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Solution

The fourth proportional to 201,201.96, 301,868.46 and 96,007.32 is: 144,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,201.96 : 301,868.46 = 96,007.32 : x
  2. Step 2: Convert to fraction form
    201,201.96/301,868.46 = 96,007.32/x
  3. Step 3: Cross multiply
    201,201.96x = 301,868.46 × 96,007.32
  4. Step 4: Simplify right side
    201,201.96x = 28,981,581,837.13
  5. Step 5: Solve for x
    x = 28,981,581,837.13/201,201.96
  6. Step 6: Final answer
    x = 144,042.24

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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.