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Finding the Fourth Proportional to 205,805.39, 308,763.50 and 105,911.15

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Solution

The fourth proportional to 205,805.39, 308,763.50 and 105,911.15 is: 158,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,805.39 : 308,763.50 = 105,911.15 : x
  2. Step 2: Convert to fraction form
    205,805.39/308,763.50 = 105,911.15/x
  3. Step 3: Cross multiply
    205,805.39x = 308,763.50 × 105,911.15
  4. Step 4: Simplify right side
    205,805.39x = 32,701,495,289.65
  5. Step 5: Solve for x
    x = 32,701,495,289.65/205,805.39
  6. Step 6: Final answer
    x = 158,895.24

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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.