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Finding the Fourth Proportional to 216,435.80, 324,653.70 and 163,947.80

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Solution

The fourth proportional to 216,435.80, 324,653.70 and 163,947.80 is: 245,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,435.80 : 324,653.70 = 163,947.80 : x
  2. Step 2: Convert to fraction form
    216,435.80/324,653.70 = 163,947.80/x
  3. Step 3: Cross multiply
    216,435.80x = 324,653.70 × 163,947.80
  4. Step 4: Simplify right side
    216,435.80x = 53,226,259,876.86
  5. Step 5: Solve for x
    x = 53,226,259,876.86/216,435.80
  6. Step 6: Final answer
    x = 245,921.70

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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.