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Finding the Fourth Proportional to 139,009, 208,551.90 and 40,513

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Solution

The fourth proportional to 139,009, 208,551.90 and 40,513 is: 60,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,009 : 208,551.90 = 40,513 : x
  2. Step 2: Convert to fraction form
    139,009/208,551.90 = 40,513/x
  3. Step 3: Cross multiply
    139,009x = 208,551.90 × 40,513
  4. Step 4: Simplify right side
    139,009x = 8,449,063,124.70
  5. Step 5: Solve for x
    x = 8,449,063,124.70/139,009
  6. Step 6: Final answer
    x = 60,780.69

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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.