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Finding the Fourth Proportional to 144,685.63, 216,765.97 and 106,828.66

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Solution

The fourth proportional to 144,685.63, 216,765.97 and 106,828.66 is: 160,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,685.63 : 216,765.97 = 106,828.66 : x
  2. Step 2: Convert to fraction form
    144,685.63/216,765.97 = 106,828.66/x
  3. Step 3: Cross multiply
    144,685.63x = 216,765.97 × 106,828.66
  4. Step 4: Simplify right side
    144,685.63x = 23,156,818,108.70
  5. Step 5: Solve for x
    x = 23,156,818,108.70/144,685.63
  6. Step 6: Final answer
    x = 160,049.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.