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Finding the Fourth Proportional to 202,323.30, 303,830.55 and 132,512.10

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Solution

The fourth proportional to 202,323.30, 303,830.55 and 132,512.10 is: 198,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,323.30 : 303,830.55 = 132,512.10 : x
  2. Step 2: Convert to fraction form
    202,323.30/303,830.55 = 132,512.10/x
  3. Step 3: Cross multiply
    202,323.30x = 303,830.55 × 132,512.10
  4. Step 4: Simplify right side
    202,323.30x = 40,261,224,224.66
  5. Step 5: Solve for x
    x = 40,261,224,224.66/202,323.30
  6. Step 6: Final answer
    x = 198,994.50

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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.