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Finding the Fourth Proportional to 192,567.61, 265,722.86 and 106,512.98

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Solution

The fourth proportional to 192,567.61, 265,722.86 and 106,512.98 is: 146,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,567.61 : 265,722.86 = 106,512.98 : x
  2. Step 2: Convert to fraction form
    192,567.61/265,722.86 = 106,512.98/x
  3. Step 3: Cross multiply
    192,567.61x = 265,722.86 × 106,512.98
  4. Step 4: Simplify right side
    192,567.61x = 28,302,932,610.39
  5. Step 5: Solve for x
    x = 28,302,932,610.39/192,567.61
  6. Step 6: Final answer
    x = 146,976.60

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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.