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Finding the Fourth Proportional to 270,320.20, 405,355.48 and 99,499

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Solution

The fourth proportional to 270,320.20, 405,355.48 and 99,499 is: 149,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,320.20 : 405,355.48 = 99,499 : x
  2. Step 2: Convert to fraction form
    270,320.20/405,355.48 = 99,499/x
  3. Step 3: Cross multiply
    270,320.20x = 405,355.48 × 99,499
  4. Step 4: Simplify right side
    270,320.20x = 40,332,464,904.52
  5. Step 5: Solve for x
    x = 40,332,464,904.52/270,320.20
  6. Step 6: Final answer
    x = 149,202.56

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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.