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Finding the Fourth Proportional to 177,339.24, 264,969.90 and 171,137.88

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Solution

The fourth proportional to 177,339.24, 264,969.90 and 171,137.88 is: 255,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,339.24 : 264,969.90 = 171,137.88 : x
  2. Step 2: Convert to fraction form
    177,339.24/264,969.90 = 171,137.88/x
  3. Step 3: Cross multiply
    177,339.24x = 264,969.90 × 171,137.88
  4. Step 4: Simplify right side
    177,339.24x = 45,346,386,949.81
  5. Step 5: Solve for x
    x = 45,346,386,949.81/177,339.24
  6. Step 6: Final answer
    x = 255,704.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.