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Finding the Fourth Proportional to 274,842.88, 412,167.08 and 130,731.76

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Solution

The fourth proportional to 274,842.88, 412,167.08 and 130,731.76 is: 196,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,842.88 : 412,167.08 = 130,731.76 : x
  2. Step 2: Convert to fraction form
    274,842.88/412,167.08 = 130,731.76/x
  3. Step 3: Cross multiply
    274,842.88x = 412,167.08 × 130,731.76
  4. Step 4: Simplify right side
    274,842.88x = 53,883,327,782.46
  5. Step 5: Solve for x
    x = 53,883,327,782.46/274,842.88
  6. Step 6: Final answer
    x = 196,051.39

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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.