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Finding the Fourth Proportional to 105,449.38, 145,465.63 and 71,446.23

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Solution

The fourth proportional to 105,449.38, 145,465.63 and 71,446.23 is: 98,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,449.38 : 145,465.63 = 71,446.23 : x
  2. Step 2: Convert to fraction form
    105,449.38/145,465.63 = 71,446.23/x
  3. Step 3: Cross multiply
    105,449.38x = 145,465.63 × 71,446.23
  4. Step 4: Simplify right side
    105,449.38x = 10,392,970,679.46
  5. Step 5: Solve for x
    x = 10,392,970,679.46/105,449.38
  6. Step 6: Final answer
    x = 98,558.86

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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.