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Finding the Fourth Proportional to 177,103.40, 265,696.61 and 70,493.83

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Solution

The fourth proportional to 177,103.40, 265,696.61 and 70,493.83 is: 105,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,103.40 : 265,696.61 = 70,493.83 : x
  2. Step 2: Convert to fraction form
    177,103.40/265,696.61 = 70,493.83/x
  3. Step 3: Cross multiply
    177,103.40x = 265,696.61 × 70,493.83
  4. Step 4: Simplify right side
    177,103.40x = 18,729,970,640.21
  5. Step 5: Solve for x
    x = 18,729,970,640.21/177,103.40
  6. Step 6: Final answer
    x = 105,757.26

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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.