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Finding the Fourth Proportional to 225,867.68, 311,767.19 and 145,295.26

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Solution

The fourth proportional to 225,867.68, 311,767.19 and 145,295.26 is: 200,552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,867.68 : 311,767.19 = 145,295.26 : x
  2. Step 2: Convert to fraction form
    225,867.68/311,767.19 = 145,295.26/x
  3. Step 3: Cross multiply
    225,867.68x = 311,767.19 × 145,295.26
  4. Step 4: Simplify right side
    225,867.68x = 45,298,294,930.52
  5. Step 5: Solve for x
    x = 45,298,294,930.52/225,867.68
  6. Step 6: Final answer
    x = 200,552.35

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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.