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Finding the Fourth Proportional to 270,499.60, 405,787.80 and 83,491.60

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Solution

The fourth proportional to 270,499.60, 405,787.80 and 83,491.60 is: 125,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,499.60 : 405,787.80 = 83,491.60 : x
  2. Step 2: Convert to fraction form
    270,499.60/405,787.80 = 83,491.60/x
  3. Step 3: Cross multiply
    270,499.60x = 405,787.80 × 83,491.60
  4. Step 4: Simplify right side
    270,499.60x = 33,879,872,682.48
  5. Step 5: Solve for x
    x = 33,879,872,682.48/270,499.60
  6. Step 6: Final answer
    x = 125,249.25

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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.