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Finding the Fourth Proportional to 192,446.51, 265,564.82 and 106,398.74

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Solution

The fourth proportional to 192,446.51, 265,564.82 and 106,398.74 is: 146,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,446.51 : 265,564.82 = 106,398.74 : x
  2. Step 2: Convert to fraction form
    192,446.51/265,564.82 = 106,398.74/x
  3. Step 3: Cross multiply
    192,446.51x = 265,564.82 × 106,398.74
  4. Step 4: Simplify right side
    192,446.51x = 28,255,761,671.22
  5. Step 5: Solve for x
    x = 28,255,761,671.22/192,446.51
  6. Step 6: Final answer
    x = 146,823.98

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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.