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Finding the Fourth Proportional to 270,452.10, 405,716.55 and 83,444.10

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Solution

The fourth proportional to 270,452.10, 405,716.55 and 83,444.10 is: 125,178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,452.10 : 405,716.55 = 83,444.10 : x
  2. Step 2: Convert to fraction form
    270,452.10/405,716.55 = 83,444.10/x
  3. Step 3: Cross multiply
    270,452.10x = 405,716.55 × 83,444.10
  4. Step 4: Simplify right side
    270,452.10x = 33,854,652,369.86
  5. Step 5: Solve for x
    x = 33,854,652,369.86/270,452.10
  6. Step 6: Final answer
    x = 125,178.00

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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.