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Finding the Fourth Proportional to 272,905.20, 409,357.80 and 83,365.20

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Solution

The fourth proportional to 272,905.20, 409,357.80 and 83,365.20 is: 125,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,905.20 : 409,357.80 = 83,365.20 : x
  2. Step 2: Convert to fraction form
    272,905.20/409,357.80 = 83,365.20/x
  3. Step 3: Cross multiply
    272,905.20x = 409,357.80 × 83,365.20
  4. Step 4: Simplify right side
    272,905.20x = 34,126,194,868.56
  5. Step 5: Solve for x
    x = 34,126,194,868.56/272,905.20
  6. Step 6: Final answer
    x = 125,047.80

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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.