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Finding the Fourth Proportional to 205,833.06, 308,706.39 and 58,054.50

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Solution

The fourth proportional to 205,833.06, 308,706.39 and 58,054.50 is: 87,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,833.06 : 308,706.39 = 58,054.50 : x
  2. Step 2: Convert to fraction form
    205,833.06/308,706.39 = 58,054.50/x
  3. Step 3: Cross multiply
    205,833.06x = 308,706.39 × 58,054.50
  4. Step 4: Simplify right side
    205,833.06x = 17,921,795,118.26
  5. Step 5: Solve for x
    x = 17,921,795,118.26/205,833.06
  6. Step 6: Final answer
    x = 87,069.57

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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.