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Finding the Fourth Proportional to 225,644.64, 338,466.96 and 114,914.40

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Solution

The fourth proportional to 225,644.64, 338,466.96 and 114,914.40 is: 172,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,644.64 : 338,466.96 = 114,914.40 : x
  2. Step 2: Convert to fraction form
    225,644.64/338,466.96 = 114,914.40/x
  3. Step 3: Cross multiply
    225,644.64x = 338,466.96 × 114,914.40
  4. Step 4: Simplify right side
    225,644.64x = 38,894,727,628.22
  5. Step 5: Solve for x
    x = 38,894,727,628.22/225,644.64
  6. Step 6: Final answer
    x = 172,371.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.