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Finding the Fourth Proportional to 149,037.76, 205,676 and 81,971.52

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Solution

The fourth proportional to 149,037.76, 205,676 and 81,971.52 is: 113,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,037.76 : 205,676 = 81,971.52 : x
  2. Step 2: Convert to fraction form
    149,037.76/205,676 = 81,971.52/x
  3. Step 3: Cross multiply
    149,037.76x = 205,676 × 81,971.52
  4. Step 4: Simplify right side
    149,037.76x = 16,859,574,347.52
  5. Step 5: Solve for x
    x = 16,859,574,347.52/149,037.76
  6. Step 6: Final answer
    x = 113,122.84

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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.