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Finding the Fourth Proportional to 202,323.20, 303,812.85 and 146,554.70

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Solution

The fourth proportional to 202,323.20, 303,812.85 and 146,554.70 is: 220,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,323.20 : 303,812.85 = 146,554.70 : x
  2. Step 2: Convert to fraction form
    202,323.20/303,812.85 = 146,554.70/x
  3. Step 3: Cross multiply
    202,323.20x = 303,812.85 × 146,554.70
  4. Step 4: Simplify right side
    202,323.20x = 44,525,201,087.90
  5. Step 5: Solve for x
    x = 44,525,201,087.90/202,323.20
  6. Step 6: Final answer
    x = 220,069.68

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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.