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Finding the Fourth Proportional to 189,973.80, 284,960.70 and 177,532.20

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Solution

The fourth proportional to 189,973.80, 284,960.70 and 177,532.20 is: 266,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,973.80 : 284,960.70 = 177,532.20 : x
  2. Step 2: Convert to fraction form
    189,973.80/284,960.70 = 177,532.20/x
  3. Step 3: Cross multiply
    189,973.80x = 284,960.70 × 177,532.20
  4. Step 4: Simplify right side
    189,973.80x = 50,589,699,984.54
  5. Step 5: Solve for x
    x = 50,589,699,984.54/189,973.80
  6. Step 6: Final answer
    x = 266,298.30

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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.