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Finding the Fourth Proportional to 205,111.40, 307,494.30 and 106,615.40

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Solution

The fourth proportional to 205,111.40, 307,494.30 and 106,615.40 is: 159,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,111.40 : 307,494.30 = 106,615.40 : x
  2. Step 2: Convert to fraction form
    205,111.40/307,494.30 = 106,615.40/x
  3. Step 3: Cross multiply
    205,111.40x = 307,494.30 × 106,615.40
  4. Step 4: Simplify right side
    205,111.40x = 32,783,627,792.22
  5. Step 5: Solve for x
    x = 32,783,627,792.22/205,111.40
  6. Step 6: Final answer
    x = 159,833.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.