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Finding the Fourth Proportional to 270,777.92, 406,156.80 and 71,096.48

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Solution

The fourth proportional to 270,777.92, 406,156.80 and 71,096.48 is: 106,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,777.92 : 406,156.80 = 71,096.48 : x
  2. Step 2: Convert to fraction form
    270,777.92/406,156.80 = 71,096.48/x
  3. Step 3: Cross multiply
    270,777.92x = 406,156.80 × 71,096.48
  4. Step 4: Simplify right side
    270,777.92x = 28,876,318,808.06
  5. Step 5: Solve for x
    x = 28,876,318,808.06/270,777.92
  6. Step 6: Final answer
    x = 106,642.07

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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.