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Finding the Fourth Proportional to 225,917.68, 312,090.87 and 180,536.26

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Solution

The fourth proportional to 225,917.68, 312,090.87 and 180,536.26 is: 249,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,917.68 : 312,090.87 = 180,536.26 : x
  2. Step 2: Convert to fraction form
    225,917.68/312,090.87 = 180,536.26/x
  3. Step 3: Cross multiply
    225,917.68x = 312,090.87 × 180,536.26
  4. Step 4: Simplify right side
    225,917.68x = 56,343,718,449.95
  5. Step 5: Solve for x
    x = 56,343,718,449.95/225,917.68
  6. Step 6: Final answer
    x = 249,399.33

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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.