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Finding the Fourth Proportional to 166,464, 229,724.48 and 101,053.60

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Solution

The fourth proportional to 166,464, 229,724.48 and 101,053.60 is: 139,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,464 : 229,724.48 = 101,053.60 : x
  2. Step 2: Convert to fraction form
    166,464/229,724.48 = 101,053.60/x
  3. Step 3: Cross multiply
    166,464x = 229,724.48 × 101,053.60
  4. Step 4: Simplify right side
    166,464x = 23,214,485,712.13
  5. Step 5: Solve for x
    x = 23,214,485,712.13/166,464
  6. Step 6: Final answer
    x = 139,456.49

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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.