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Finding the Fourth Proportional to 114,896.58, 158,512.02 and 84,754.50

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Solution

The fourth proportional to 114,896.58, 158,512.02 and 84,754.50 is: 116,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,896.58 : 158,512.02 = 84,754.50 : x
  2. Step 2: Convert to fraction form
    114,896.58/158,512.02 = 84,754.50/x
  3. Step 3: Cross multiply
    114,896.58x = 158,512.02 × 84,754.50
  4. Step 4: Simplify right side
    114,896.58x = 13,434,606,999.09
  5. Step 5: Solve for x
    x = 13,434,606,999.09/114,896.58
  6. Step 6: Final answer
    x = 116,927.82

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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.