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Finding the Fourth Proportional to 262,242.54, 361,952.01 and 166,730.58

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Solution

The fourth proportional to 262,242.54, 361,952.01 and 166,730.58 is: 230,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,242.54 : 361,952.01 = 166,730.58 : x
  2. Step 2: Convert to fraction form
    262,242.54/361,952.01 = 166,730.58/x
  3. Step 3: Cross multiply
    262,242.54x = 361,952.01 × 166,730.58
  4. Step 4: Simplify right side
    262,242.54x = 60,348,468,559.47
  5. Step 5: Solve for x
    x = 60,348,468,559.47/262,242.54
  6. Step 6: Final answer
    x = 230,124.63

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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.