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Finding the Fourth Proportional to 300,173.07, 414,248.71 and 171,109.24

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Solution

The fourth proportional to 300,173.07, 414,248.71 and 171,109.24 is: 236,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,173.07 : 414,248.71 = 171,109.24 : x
  2. Step 2: Convert to fraction form
    300,173.07/414,248.71 = 171,109.24/x
  3. Step 3: Cross multiply
    300,173.07x = 414,248.71 × 171,109.24
  4. Step 4: Simplify right side
    300,173.07x = 70,881,782,645.42
  5. Step 5: Solve for x
    x = 70,881,782,645.42/300,173.07
  6. Step 6: Final answer
    x = 236,136.38

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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.