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Finding the Fourth Proportional to 268,952.04, 403,564.14 and 111,293.64

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Solution

The fourth proportional to 268,952.04, 403,564.14 and 111,293.64 is: 166,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,952.04 : 403,564.14 = 111,293.64 : x
  2. Step 2: Convert to fraction form
    268,952.04/403,564.14 = 111,293.64/x
  3. Step 3: Cross multiply
    268,952.04x = 403,564.14 × 111,293.64
  4. Step 4: Simplify right side
    268,952.04x = 44,914,122,114.07
  5. Step 5: Solve for x
    x = 44,914,122,114.07/268,952.04
  6. Step 6: Final answer
    x = 166,996.77

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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.