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Finding the Fourth Proportional to 205,328.12, 308,003.26 and 65,097.72

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Solution

The fourth proportional to 205,328.12, 308,003.26 and 65,097.72 is: 97,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,328.12 : 308,003.26 = 65,097.72 : x
  2. Step 2: Convert to fraction form
    205,328.12/308,003.26 = 65,097.72/x
  3. Step 3: Cross multiply
    205,328.12x = 308,003.26 × 65,097.72
  4. Step 4: Simplify right side
    205,328.12x = 20,050,309,978.57
  5. Step 5: Solve for x
    x = 20,050,309,978.57/205,328.12
  6. Step 6: Final answer
    x = 97,650.09

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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.