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Finding the Fourth Proportional to 177,203.74, 265,504.76 and 106,935.42

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Solution

The fourth proportional to 177,203.74, 265,504.76 and 106,935.42 is: 160,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,203.74 : 265,504.76 = 106,935.42 : x
  2. Step 2: Convert to fraction form
    177,203.74/265,504.76 = 106,935.42/x
  3. Step 3: Cross multiply
    177,203.74x = 265,504.76 × 106,935.42
  4. Step 4: Simplify right side
    177,203.74x = 28,391,863,022.60
  5. Step 5: Solve for x
    x = 28,391,863,022.60/177,203.74
  6. Step 6: Final answer
    x = 160,221.58

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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.