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Finding the Fourth Proportional to 205,829.06, 308,700.39 and 58,050.50

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Solution

The fourth proportional to 205,829.06, 308,700.39 and 58,050.50 is: 87,063.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,829.06 : 308,700.39 = 58,050.50 : x
  2. Step 2: Convert to fraction form
    205,829.06/308,700.39 = 58,050.50/x
  3. Step 3: Cross multiply
    205,829.06x = 308,700.39 × 58,050.50
  4. Step 4: Simplify right side
    205,829.06x = 17,920,211,989.70
  5. Step 5: Solve for x
    x = 17,920,211,989.70/205,829.06
  6. Step 6: Final answer
    x = 87,063.57

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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.