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Finding the Fourth Proportional to 109,954, 151,736.58 and 59,653

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Solution

The fourth proportional to 109,954, 151,736.58 and 59,653 is: 82,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,954 : 151,736.58 = 59,653 : x
  2. Step 2: Convert to fraction form
    109,954/151,736.58 = 59,653/x
  3. Step 3: Cross multiply
    109,954x = 151,736.58 × 59,653
  4. Step 4: Simplify right side
    109,954x = 9,051,542,206.74
  5. Step 5: Solve for x
    x = 9,051,542,206.74/109,954
  6. Step 6: Final answer
    x = 82,321.17

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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.