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Finding the Fourth Proportional to 187,704.69, 259,037.73 and 114,117

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Solution

The fourth proportional to 187,704.69, 259,037.73 and 114,117 is: 157,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,704.69 : 259,037.73 = 114,117 : x
  2. Step 2: Convert to fraction form
    187,704.69/259,037.73 = 114,117/x
  3. Step 3: Cross multiply
    187,704.69x = 259,037.73 × 114,117
  4. Step 4: Simplify right side
    187,704.69x = 29,560,608,634.41
  5. Step 5: Solve for x
    x = 29,560,608,634.41/187,704.69
  6. Step 6: Final answer
    x = 157,484.66

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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.