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Finding the Fourth Proportional to 193,813.80, 290,720.70 and 182,140.20

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Solution

The fourth proportional to 193,813.80, 290,720.70 and 182,140.20 is: 273,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,813.80 : 290,720.70 = 182,140.20 : x
  2. Step 2: Convert to fraction form
    193,813.80/290,720.70 = 182,140.20/x
  3. Step 3: Cross multiply
    193,813.80x = 290,720.70 × 182,140.20
  4. Step 4: Simplify right side
    193,813.80x = 52,951,926,442.14
  5. Step 5: Solve for x
    x = 52,951,926,442.14/193,813.80
  6. Step 6: Final answer
    x = 273,210.30

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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.