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Finding the Fourth Proportional to 272,013.80, 407,534.70 and 131,462.60

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Solution

The fourth proportional to 272,013.80, 407,534.70 and 131,462.60 is: 196,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,013.80 : 407,534.70 = 131,462.60 : x
  2. Step 2: Convert to fraction form
    272,013.80/407,534.70 = 131,462.60/x
  3. Step 3: Cross multiply
    272,013.80x = 407,534.70 × 131,462.60
  4. Step 4: Simplify right side
    272,013.80x = 53,575,571,252.22
  5. Step 5: Solve for x
    x = 53,575,571,252.22/272,013.80
  6. Step 6: Final answer
    x = 196,959.02

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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.