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Finding the Fourth Proportional to 105,201.68, 157,708.72 and 38,626.56

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Solution

The fourth proportional to 105,201.68, 157,708.72 and 38,626.56 is: 57,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,201.68 : 157,708.72 = 38,626.56 : x
  2. Step 2: Convert to fraction form
    105,201.68/157,708.72 = 38,626.56/x
  3. Step 3: Cross multiply
    105,201.68x = 157,708.72 × 38,626.56
  4. Step 4: Simplify right side
    105,201.68x = 6,091,745,335.60
  5. Step 5: Solve for x
    x = 6,091,745,335.60/105,201.68
  6. Step 6: Final answer
    x = 57,905.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.