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Finding the Fourth Proportional to 149,102.49, 205,885.63 and 138,284.39

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Solution

The fourth proportional to 149,102.49, 205,885.63 and 138,284.39 is: 190,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,102.49 : 205,885.63 = 138,284.39 : x
  2. Step 2: Convert to fraction form
    149,102.49/205,885.63 = 138,284.39/x
  3. Step 3: Cross multiply
    149,102.49x = 205,885.63 × 138,284.39
  4. Step 4: Simplify right side
    149,102.49x = 28,470,767,379.18
  5. Step 5: Solve for x
    x = 28,470,767,379.18/149,102.49
  6. Step 6: Final answer
    x = 190,947.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.