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Finding the Fourth Proportional to 105,014.96, 144,806.05 and 70,964.39

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Solution

The fourth proportional to 105,014.96, 144,806.05 and 70,964.39 is: 97,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,014.96 : 144,806.05 = 70,964.39 : x
  2. Step 2: Convert to fraction form
    105,014.96/144,806.05 = 70,964.39/x
  3. Step 3: Cross multiply
    105,014.96x = 144,806.05 × 70,964.39
  4. Step 4: Simplify right side
    105,014.96x = 10,276,073,453.23
  5. Step 5: Solve for x
    x = 10,276,073,453.23/105,014.96
  6. Step 6: Final answer
    x = 97,853.43

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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.