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Finding the Fourth Proportional to 192,575.71, 265,749.51 and 106,532.47

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Solution

The fourth proportional to 192,575.71, 265,749.51 and 106,532.47 is: 147,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,575.71 : 265,749.51 = 106,532.47 : x
  2. Step 2: Convert to fraction form
    192,575.71/265,749.51 = 106,532.47/x
  3. Step 3: Cross multiply
    192,575.71x = 265,749.51 × 106,532.47
  4. Step 4: Simplify right side
    192,575.71x = 28,310,951,701.59
  5. Step 5: Solve for x
    x = 28,310,951,701.59/192,575.71
  6. Step 6: Final answer
    x = 147,012.06

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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.