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Finding the Fourth Proportional to 139,801.50, 209,494.82 and 102,684.06

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Solution

The fourth proportional to 139,801.50, 209,494.82 and 102,684.06 is: 153,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,801.50 : 209,494.82 = 102,684.06 : x
  2. Step 2: Convert to fraction form
    139,801.50/209,494.82 = 102,684.06/x
  3. Step 3: Cross multiply
    139,801.50x = 209,494.82 × 102,684.06
  4. Step 4: Simplify right side
    139,801.50x = 21,511,778,666.57
  5. Step 5: Solve for x
    x = 21,511,778,666.57/139,801.50
  6. Step 6: Final answer
    x = 153,873.73

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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.