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Finding the Fourth Proportional to 139,078.49, 208,563.13 and 49,102

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Solution

The fourth proportional to 139,078.49, 208,563.13 and 49,102 is: 73,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,078.49 : 208,563.13 = 49,102 : x
  2. Step 2: Convert to fraction form
    139,078.49/208,563.13 = 49,102/x
  3. Step 3: Cross multiply
    139,078.49x = 208,563.13 × 49,102
  4. Step 4: Simplify right side
    139,078.49x = 10,240,866,809.26
  5. Step 5: Solve for x
    x = 10,240,866,809.26/139,078.49
  6. Step 6: Final answer
    x = 73,633.72

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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.