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Finding the Fourth Proportional to 208,326.89, 312,498.03 and 107,097.83

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Solution

The fourth proportional to 208,326.89, 312,498.03 and 107,097.83 is: 160,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,326.89 : 312,498.03 = 107,097.83 : x
  2. Step 2: Convert to fraction form
    208,326.89/312,498.03 = 107,097.83/x
  3. Step 3: Cross multiply
    208,326.89x = 312,498.03 × 107,097.83
  4. Step 4: Simplify right side
    208,326.89x = 33,467,860,892.27
  5. Step 5: Solve for x
    x = 33,467,860,892.27/208,326.89
  6. Step 6: Final answer
    x = 160,650.70

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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.