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Finding the Fourth Proportional to 275,171.13, 412,797.71 and 97,663.28

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Solution

The fourth proportional to 275,171.13, 412,797.71 and 97,663.28 is: 146,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,171.13 : 412,797.71 = 97,663.28 : x
  2. Step 2: Convert to fraction form
    275,171.13/412,797.71 = 97,663.28/x
  3. Step 3: Cross multiply
    275,171.13x = 412,797.71 × 97,663.28
  4. Step 4: Simplify right side
    275,171.13x = 40,315,177,303.09
  5. Step 5: Solve for x
    x = 40,315,177,303.09/275,171.13
  6. Step 6: Final answer
    x = 146,509.47

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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.