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Finding the Fourth Proportional to 149,037.67, 205,748.18 and 114,969.68

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Solution

The fourth proportional to 149,037.67, 205,748.18 and 114,969.68 is: 158,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,037.67 : 205,748.18 = 114,969.68 : x
  2. Step 2: Convert to fraction form
    149,037.67/205,748.18 = 114,969.68/x
  3. Step 3: Cross multiply
    149,037.67x = 205,748.18 × 114,969.68
  4. Step 4: Simplify right side
    149,037.67x = 23,654,801,690.93
  5. Step 5: Solve for x
    x = 23,654,801,690.93/149,037.67
  6. Step 6: Final answer
    x = 158,716.93

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Why These Related Problems?

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