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Finding the Fourth Proportional to 105,449.37, 145,465.64 and 71,446.23

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Solution

The fourth proportional to 105,449.37, 145,465.64 and 71,446.23 is: 98,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,449.37 : 145,465.64 = 71,446.23 : x
  2. Step 2: Convert to fraction form
    105,449.37/145,465.64 = 71,446.23/x
  3. Step 3: Cross multiply
    105,449.37x = 145,465.64 × 71,446.23
  4. Step 4: Simplify right side
    105,449.37x = 10,392,971,215.31
  5. Step 5: Solve for x
    x = 10,392,971,215.31/105,449.37
  6. Step 6: Final answer
    x = 98,558.87

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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.