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Finding the Fourth Proportional to 202,548.60, 303,677.10 and 113,829.30

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Solution

The fourth proportional to 202,548.60, 303,677.10 and 113,829.30 is: 170,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,548.60 : 303,677.10 = 113,829.30 : x
  2. Step 2: Convert to fraction form
    202,548.60/303,677.10 = 113,829.30/x
  3. Step 3: Cross multiply
    202,548.60x = 303,677.10 × 113,829.30
  4. Step 4: Simplify right side
    202,548.60x = 34,567,351,719.03
  5. Step 5: Solve for x
    x = 34,567,351,719.03/202,548.60
  6. Step 6: Final answer
    x = 170,662.01

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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.