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Finding the Fourth Proportional to 295,104, 407,243.52 and 160,968

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Solution

The fourth proportional to 295,104, 407,243.52 and 160,968 is: 222,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,104 : 407,243.52 = 160,968 : x
  2. Step 2: Convert to fraction form
    295,104/407,243.52 = 160,968/x
  3. Step 3: Cross multiply
    295,104x = 407,243.52 × 160,968
  4. Step 4: Simplify right side
    295,104x = 65,553,174,927.36
  5. Step 5: Solve for x
    x = 65,553,174,927.36/295,104
  6. Step 6: Final answer
    x = 222,135.84

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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.