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Finding the Fourth Proportional to 177,049.40, 265,725.30 and 71,943.80

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Solution

The fourth proportional to 177,049.40, 265,725.30 and 71,943.80 is: 107,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,049.40 : 265,725.30 = 71,943.80 : x
  2. Step 2: Convert to fraction form
    177,049.40/265,725.30 = 71,943.80/x
  3. Step 3: Cross multiply
    177,049.40x = 265,725.30 × 71,943.80
  4. Step 4: Simplify right side
    177,049.40x = 19,117,287,838.14
  5. Step 5: Solve for x
    x = 19,117,287,838.14/177,049.40
  6. Step 6: Final answer
    x = 107,977.14

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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.