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Finding the Fourth Proportional to 256,932.80, 385,341.60 and 168,804.80

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Solution

The fourth proportional to 256,932.80, 385,341.60 and 168,804.80 is: 253,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,932.80 : 385,341.60 = 168,804.80 : x
  2. Step 2: Convert to fraction form
    256,932.80/385,341.60 = 168,804.80/x
  3. Step 3: Cross multiply
    256,932.80x = 385,341.60 × 168,804.80
  4. Step 4: Simplify right side
    256,932.80x = 65,047,511,719.68
  5. Step 5: Solve for x
    x = 65,047,511,719.68/256,932.80
  6. Step 6: Final answer
    x = 253,169.36

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Why These Related Problems?

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