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Finding the Fourth Proportional to 202,261.20, 302,808.60 and 123,529.20

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Solution

The fourth proportional to 202,261.20, 302,808.60 and 123,529.20 is: 184,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,261.20 : 302,808.60 = 123,529.20 : x
  2. Step 2: Convert to fraction form
    202,261.20/302,808.60 = 123,529.20/x
  3. Step 3: Cross multiply
    202,261.20x = 302,808.60 × 123,529.20
  4. Step 4: Simplify right side
    202,261.20x = 37,405,704,111.12
  5. Step 5: Solve for x
    x = 37,405,704,111.12/202,261.20
  6. Step 6: Final answer
    x = 184,937.62

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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.