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Finding the Fourth Proportional to 184,825.65, 255,060.92 and 102,042.30

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Solution

The fourth proportional to 184,825.65, 255,060.92 and 102,042.30 is: 140,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,825.65 : 255,060.92 = 102,042.30 : x
  2. Step 2: Convert to fraction form
    184,825.65/255,060.92 = 102,042.30/x
  3. Step 3: Cross multiply
    184,825.65x = 255,060.92 × 102,042.30
  4. Step 4: Simplify right side
    184,825.65x = 26,027,003,172.02
  5. Step 5: Solve for x
    x = 26,027,003,172.02/184,825.65
  6. Step 6: Final answer
    x = 140,819.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.