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Finding the Fourth Proportional to 202,113.60, 303,213.60 and 61,886.40

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Solution

The fourth proportional to 202,113.60, 303,213.60 and 61,886.40 is: 92,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,113.60 : 303,213.60 = 61,886.40 : x
  2. Step 2: Convert to fraction form
    202,113.60/303,213.60 = 61,886.40/x
  3. Step 3: Cross multiply
    202,113.60x = 303,213.60 × 61,886.40
  4. Step 4: Simplify right side
    202,113.60x = 18,764,798,135.04
  5. Step 5: Solve for x
    x = 18,764,798,135.04/202,113.60
  6. Step 6: Final answer
    x = 92,842.83

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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.