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Finding the Fourth Proportional to 174,633.39, 261,837.39 and 83,399.40

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Solution

The fourth proportional to 174,633.39, 261,837.39 and 83,399.40 is: 125,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,633.39 : 261,837.39 = 83,399.40 : x
  2. Step 2: Convert to fraction form
    174,633.39/261,837.39 = 83,399.40/x
  3. Step 3: Cross multiply
    174,633.39x = 261,837.39 × 83,399.40
  4. Step 4: Simplify right side
    174,633.39x = 21,837,081,223.57
  5. Step 5: Solve for x
    x = 21,837,081,223.57/174,633.39
  6. Step 6: Final answer
    x = 125,045.28

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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.