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Finding the Fourth Proportional to 192,552.41, 265,701.86 and 106,497.71

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Solution

The fourth proportional to 192,552.41, 265,701.86 and 106,497.71 is: 146,955.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,552.41 : 265,701.86 = 106,497.71 : x
  2. Step 2: Convert to fraction form
    192,552.41/265,701.86 = 106,497.71/x
  3. Step 3: Cross multiply
    192,552.41x = 265,701.86 × 106,497.71
  4. Step 4: Simplify right side
    192,552.41x = 28,296,637,771.74
  5. Step 5: Solve for x
    x = 28,296,637,771.74/192,552.41
  6. Step 6: Final answer
    x = 146,955.51

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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.