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Finding the Fourth Proportional to 309,507.20, 426,962.73 and 202,140.08

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Solution

The fourth proportional to 309,507.20, 426,962.73 and 202,140.08 is: 278,850.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,507.20 : 426,962.73 = 202,140.08 : x
  2. Step 2: Convert to fraction form
    309,507.20/426,962.73 = 202,140.08/x
  3. Step 3: Cross multiply
    309,507.20x = 426,962.73 × 202,140.08
  4. Step 4: Simplify right side
    309,507.20x = 86,306,280,399.22
  5. Step 5: Solve for x
    x = 86,306,280,399.22/309,507.20
  6. Step 6: Final answer
    x = 278,850.64

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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.