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Finding the Fourth Proportional to 201,402.36, 301,906.50 and 83,173.32

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Solution

The fourth proportional to 201,402.36, 301,906.50 and 83,173.32 is: 124,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,402.36 : 301,906.50 = 83,173.32 : x
  2. Step 2: Convert to fraction form
    201,402.36/301,906.50 = 83,173.32/x
  3. Step 3: Cross multiply
    201,402.36x = 301,906.50 × 83,173.32
  4. Step 4: Simplify right side
    201,402.36x = 25,110,565,934.58
  5. Step 5: Solve for x
    x = 25,110,565,934.58/201,402.36
  6. Step 6: Final answer
    x = 124,678.61

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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.