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Finding the Fourth Proportional to 202,140.64, 303,209.70 and 52,380.55

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Solution

The fourth proportional to 202,140.64, 303,209.70 and 52,380.55 is: 78,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,140.64 : 303,209.70 = 52,380.55 : x
  2. Step 2: Convert to fraction form
    202,140.64/303,209.70 = 52,380.55/x
  3. Step 3: Cross multiply
    202,140.64x = 303,209.70 × 52,380.55
  4. Step 4: Simplify right side
    202,140.64x = 15,882,290,851.34
  5. Step 5: Solve for x
    x = 15,882,290,851.34/202,140.64
  6. Step 6: Final answer
    x = 78,570.50

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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.