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Finding the Fourth Proportional to 242,164.33, 363,301.77 and 73,708.53

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Solution

The fourth proportional to 242,164.33, 363,301.77 and 73,708.53 is: 110,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,164.33 : 363,301.77 = 73,708.53 : x
  2. Step 2: Convert to fraction form
    242,164.33/363,301.77 = 73,708.53/x
  3. Step 3: Cross multiply
    242,164.33x = 363,301.77 × 73,708.53
  4. Step 4: Simplify right side
    242,164.33x = 26,778,437,596.59
  5. Step 5: Solve for x
    x = 26,778,437,596.59/242,164.33
  6. Step 6: Final answer
    x = 110,579.61

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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.