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Finding the Fourth Proportional to 163,443.96, 225,661.61 and 102,283.14

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Solution

The fourth proportional to 163,443.96, 225,661.61 and 102,283.14 is: 141,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,443.96 : 225,661.61 = 102,283.14 : x
  2. Step 2: Convert to fraction form
    163,443.96/225,661.61 = 102,283.14/x
  3. Step 3: Cross multiply
    163,443.96x = 225,661.61 × 102,283.14
  4. Step 4: Simplify right side
    163,443.96x = 23,081,378,401.35
  5. Step 5: Solve for x
    x = 23,081,378,401.35/163,443.96
  6. Step 6: Final answer
    x = 141,218.91

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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.