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Finding the Fourth Proportional to 270,653.10, 405,979.65 and 83,664.30

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Solution

The fourth proportional to 270,653.10, 405,979.65 and 83,664.30 is: 125,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,653.10 : 405,979.65 = 83,664.30 : x
  2. Step 2: Convert to fraction form
    270,653.10/405,979.65 = 83,664.30/x
  3. Step 3: Cross multiply
    270,653.10x = 405,979.65 × 83,664.30
  4. Step 4: Simplify right side
    270,653.10x = 33,966,003,231.50
  5. Step 5: Solve for x
    x = 33,966,003,231.50/270,653.10
  6. Step 6: Final answer
    x = 125,496.45

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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.