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Finding the Fourth Proportional to 161,200.80, 225,914.40 and 161,200.80

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Solution

The fourth proportional to 161,200.80, 225,914.40 and 161,200.80 is: 225,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,200.80 : 225,914.40 = 161,200.80 : x
  2. Step 2: Convert to fraction form
    161,200.80/225,914.40 = 161,200.80/x
  3. Step 3: Cross multiply
    161,200.80x = 225,914.40 × 161,200.80
  4. Step 4: Simplify right side
    161,200.80x = 36,417,582,011.52
  5. Step 5: Solve for x
    x = 36,417,582,011.52/161,200.80
  6. Step 6: Final answer
    x = 225,914.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.