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Finding the Fourth Proportional to 105,016.58, 144,926.74 and 59,696.46

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Solution

The fourth proportional to 105,016.58, 144,926.74 and 59,696.46 is: 82,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,016.58 : 144,926.74 = 59,696.46 : x
  2. Step 2: Convert to fraction form
    105,016.58/144,926.74 = 59,696.46/x
  3. Step 3: Cross multiply
    105,016.58x = 144,926.74 × 59,696.46
  4. Step 4: Simplify right side
    105,016.58x = 8,651,613,337.34
  5. Step 5: Solve for x
    x = 8,651,613,337.34/105,016.58
  6. Step 6: Final answer
    x = 82,383.31

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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.