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Finding the Fourth Proportional to 216,826.48, 324,818.88 and 159,796.80

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Solution

The fourth proportional to 216,826.48, 324,818.88 and 159,796.80 is: 239,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,826.48 : 324,818.88 = 159,796.80 : x
  2. Step 2: Convert to fraction form
    216,826.48/324,818.88 = 159,796.80/x
  3. Step 3: Cross multiply
    216,826.48x = 324,818.88 × 159,796.80
  4. Step 4: Simplify right side
    216,826.48x = 51,905,017,603.58
  5. Step 5: Solve for x
    x = 51,905,017,603.58/216,826.48
  6. Step 6: Final answer
    x = 239,385.05

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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.