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Finding the Fourth Proportional to 274,713.69, 412,211.06 and 130,782.16

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Solution

The fourth proportional to 274,713.69, 412,211.06 and 130,782.16 is: 196,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,713.69 : 412,211.06 = 130,782.16 : x
  2. Step 2: Convert to fraction form
    274,713.69/412,211.06 = 130,782.16/x
  3. Step 3: Cross multiply
    274,713.69x = 412,211.06 × 130,782.16
  4. Step 4: Simplify right side
    274,713.69x = 53,909,853,154.48
  5. Step 5: Solve for x
    x = 53,909,853,154.48/274,713.69
  6. Step 6: Final answer
    x = 196,240.14

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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.