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Finding the Fourth Proportional to 184,006.50, 253,930.36 and 102,335.88

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Solution

The fourth proportional to 184,006.50, 253,930.36 and 102,335.88 is: 141,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,006.50 : 253,930.36 = 102,335.88 : x
  2. Step 2: Convert to fraction form
    184,006.50/253,930.36 = 102,335.88/x
  3. Step 3: Cross multiply
    184,006.50x = 253,930.36 × 102,335.88
  4. Step 4: Simplify right side
    184,006.50x = 25,986,186,849.32
  5. Step 5: Solve for x
    x = 25,986,186,849.32/184,006.50
  6. Step 6: Final answer
    x = 141,224.29

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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.