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Finding the Fourth Proportional to 257,165.46, 385,809.77 and 107,322.39

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Solution

The fourth proportional to 257,165.46, 385,809.77 and 107,322.39 is: 161,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,165.46 : 385,809.77 = 107,322.39 : x
  2. Step 2: Convert to fraction form
    257,165.46/385,809.77 = 107,322.39/x
  3. Step 3: Cross multiply
    257,165.46x = 385,809.77 × 107,322.39
  4. Step 4: Simplify right side
    257,165.46x = 41,406,027,804.22
  5. Step 5: Solve for x
    x = 41,406,027,804.22/257,165.46
  6. Step 6: Final answer
    x = 161,009.29

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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.