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Finding the Fourth Proportional to 226,116, 312,040.08 and 125,523.36

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Solution

The fourth proportional to 226,116, 312,040.08 and 125,523.36 is: 173,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,116 : 312,040.08 = 125,523.36 : x
  2. Step 2: Convert to fraction form
    226,116/312,040.08 = 125,523.36/x
  3. Step 3: Cross multiply
    226,116x = 312,040.08 × 125,523.36
  4. Step 4: Simplify right side
    226,116x = 39,168,319,296.27
  5. Step 5: Solve for x
    x = 39,168,319,296.27/226,116
  6. Step 6: Final answer
    x = 173,222.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.