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Finding the Fourth Proportional to 301,176.15, 415,644.18 and 172,133.64

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Solution

The fourth proportional to 301,176.15, 415,644.18 and 172,133.64 is: 237,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,176.15 : 415,644.18 = 172,133.64 : x
  2. Step 2: Convert to fraction form
    301,176.15/415,644.18 = 172,133.64/x
  3. Step 3: Cross multiply
    301,176.15x = 415,644.18 × 172,133.64
  4. Step 4: Simplify right side
    301,176.15x = 71,546,345,648.22
  5. Step 5: Solve for x
    x = 71,546,345,648.22/301,176.15
  6. Step 6: Final answer
    x = 237,556.48

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