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Finding the Fourth Proportional to 192,462, 265,714.20 and 125,510.64

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Solution

The fourth proportional to 192,462, 265,714.20 and 125,510.64 is: 173,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,462 : 265,714.20 = 125,510.64 : x
  2. Step 2: Convert to fraction form
    192,462/265,714.20 = 125,510.64/x
  3. Step 3: Cross multiply
    192,462x = 265,714.20 × 125,510.64
  4. Step 4: Simplify right side
    192,462x = 33,349,959,299.09
  5. Step 5: Solve for x
    x = 33,349,959,299.09/192,462
  6. Step 6: Final answer
    x = 173,280.75

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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.