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Finding the Fourth Proportional to 168,447.94, 232,431.73 and 96,814.58

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Solution

The fourth proportional to 168,447.94, 232,431.73 and 96,814.58 is: 133,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,447.94 : 232,431.73 = 96,814.58 : x
  2. Step 2: Convert to fraction form
    168,447.94/232,431.73 = 96,814.58/x
  3. Step 3: Cross multiply
    168,447.94x = 232,431.73 × 96,814.58
  4. Step 4: Simplify right side
    168,447.94x = 22,502,778,914.43
  5. Step 5: Solve for x
    x = 22,502,778,914.43/168,447.94
  6. Step 6: Final answer
    x = 133,588.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.