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Finding the Fourth Proportional to 181,284.90, 271,668.15 and 133,527.30

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Solution

The fourth proportional to 181,284.90, 271,668.15 and 133,527.30 is: 200,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,284.90 : 271,668.15 = 133,527.30 : x
  2. Step 2: Convert to fraction form
    181,284.90/271,668.15 = 133,527.30/x
  3. Step 3: Cross multiply
    181,284.90x = 271,668.15 × 133,527.30
  4. Step 4: Simplify right side
    181,284.90x = 36,275,114,565.50
  5. Step 5: Solve for x
    x = 36,275,114,565.50/181,284.90
  6. Step 6: Final answer
    x = 200,100.03

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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.