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Finding the Fourth Proportional to 189,968.80, 284,953.20 and 177,527.20

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Solution

The fourth proportional to 189,968.80, 284,953.20 and 177,527.20 is: 266,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,968.80 : 284,953.20 = 177,527.20 : x
  2. Step 2: Convert to fraction form
    189,968.80/284,953.20 = 177,527.20/x
  3. Step 3: Cross multiply
    189,968.80x = 284,953.20 × 177,527.20
  4. Step 4: Simplify right side
    189,968.80x = 50,586,943,727.04
  5. Step 5: Solve for x
    x = 50,586,943,727.04/189,968.80
  6. Step 6: Final answer
    x = 266,290.80

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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.