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Finding the Fourth Proportional to 202,060.80, 302,697.54 and 122,978.88

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Solution

The fourth proportional to 202,060.80, 302,697.54 and 122,978.88 is: 184,228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,060.80 : 302,697.54 = 122,978.88 : x
  2. Step 2: Convert to fraction form
    202,060.80/302,697.54 = 122,978.88/x
  3. Step 3: Cross multiply
    202,060.80x = 302,697.54 × 122,978.88
  4. Step 4: Simplify right side
    202,060.80x = 37,225,404,447.96
  5. Step 5: Solve for x
    x = 37,225,404,447.96/202,060.80
  6. Step 6: Final answer
    x = 184,228.73

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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.