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Finding the Fourth Proportional to 165,954.84, 229,035.30 and 101,461.88

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Solution

The fourth proportional to 165,954.84, 229,035.30 and 101,461.88 is: 140,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,954.84 : 229,035.30 = 101,461.88 : x
  2. Step 2: Convert to fraction form
    165,954.84/229,035.30 = 101,461.88/x
  3. Step 3: Cross multiply
    165,954.84x = 229,035.30 × 101,461.88
  4. Step 4: Simplify right side
    165,954.84x = 23,238,352,124.36
  5. Step 5: Solve for x
    x = 23,238,352,124.36/165,954.84
  6. Step 6: Final answer
    x = 140,028.17

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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.