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Finding the Fourth Proportional to 272,007.40, 407,865.30 and 114,057.40

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Solution

The fourth proportional to 272,007.40, 407,865.30 and 114,057.40 is: 171,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,007.40 : 407,865.30 = 114,057.40 : x
  2. Step 2: Convert to fraction form
    272,007.40/407,865.30 = 114,057.40/x
  3. Step 3: Cross multiply
    272,007.40x = 407,865.30 × 114,057.40
  4. Step 4: Simplify right side
    272,007.40x = 46,520,055,668.22
  5. Step 5: Solve for x
    x = 46,520,055,668.22/272,007.40
  6. Step 6: Final answer
    x = 171,024.96

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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.