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Finding the Fourth Proportional to 168,400.12, 232,390.68 and 92,947

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Solution

The fourth proportional to 168,400.12, 232,390.68 and 92,947 is: 128,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,400.12 : 232,390.68 = 92,947 : x
  2. Step 2: Convert to fraction form
    168,400.12/232,390.68 = 92,947/x
  3. Step 3: Cross multiply
    168,400.12x = 232,390.68 × 92,947
  4. Step 4: Simplify right side
    168,400.12x = 21,600,016,533.96
  5. Step 5: Solve for x
    x = 21,600,016,533.96/168,400.12
  6. Step 6: Final answer
    x = 128,266.04

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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.