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Finding the Fourth Proportional to 270,606.43, 406,004.42 and 83,617.93

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Solution

The fourth proportional to 270,606.43, 406,004.42 and 83,617.93 is: 125,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,606.43 : 406,004.42 = 83,617.93 : x
  2. Step 2: Convert to fraction form
    270,606.43/406,004.42 = 83,617.93/x
  3. Step 3: Cross multiply
    270,606.43x = 406,004.42 × 83,617.93
  4. Step 4: Simplify right side
    270,606.43x = 33,949,249,171.25
  5. Step 5: Solve for x
    x = 33,949,249,171.25/270,606.43
  6. Step 6: Final answer
    x = 125,456.18

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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.