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Finding the Fourth Proportional to 203,488.40, 305,232.60 and 164,122.40

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Solution

The fourth proportional to 203,488.40, 305,232.60 and 164,122.40 is: 246,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,488.40 : 305,232.60 = 164,122.40 : x
  2. Step 2: Convert to fraction form
    203,488.40/305,232.60 = 164,122.40/x
  3. Step 3: Cross multiply
    203,488.40x = 305,232.60 × 164,122.40
  4. Step 4: Simplify right side
    203,488.40x = 50,095,506,870.24
  5. Step 5: Solve for x
    x = 50,095,506,870.24/203,488.40
  6. Step 6: Final answer
    x = 246,183.60

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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.