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Finding the Fourth Proportional to 205,100.60, 307,650.74 and 105,205.18

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Solution

The fourth proportional to 205,100.60, 307,650.74 and 105,205.18 is: 157,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,100.60 : 307,650.74 = 105,205.18 : x
  2. Step 2: Convert to fraction form
    205,100.60/307,650.74 = 105,205.18/x
  3. Step 3: Cross multiply
    205,100.60x = 307,650.74 × 105,205.18
  4. Step 4: Simplify right side
    205,100.60x = 32,366,451,478.83
  5. Step 5: Solve for x
    x = 32,366,451,478.83/205,100.60
  6. Step 6: Final answer
    x = 157,807.69

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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.