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Finding the Fourth Proportional to 280,204.66, 386,230.70 and 189,527.54

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Solution

The fourth proportional to 280,204.66, 386,230.70 and 189,527.54 is: 261,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,204.66 : 386,230.70 = 189,527.54 : x
  2. Step 2: Convert to fraction form
    280,204.66/386,230.70 = 189,527.54/x
  3. Step 3: Cross multiply
    280,204.66x = 386,230.70 × 189,527.54
  4. Step 4: Simplify right side
    280,204.66x = 73,201,352,986.14
  5. Step 5: Solve for x
    x = 73,201,352,986.14/280,204.66
  6. Step 6: Final answer
    x = 261,242.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.