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Finding the Fourth Proportional to 301,585.06, 416,171.14 and 172,526.10

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Solution

The fourth proportional to 301,585.06, 416,171.14 and 172,526.10 is: 238,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,585.06 : 416,171.14 = 172,526.10 : x
  2. Step 2: Convert to fraction form
    301,585.06/416,171.14 = 172,526.10/x
  3. Step 3: Cross multiply
    301,585.06x = 416,171.14 × 172,526.10
  4. Step 4: Simplify right side
    301,585.06x = 71,800,383,716.75
  5. Step 5: Solve for x
    x = 71,800,383,716.75/301,585.06
  6. Step 6: Final answer
    x = 238,076.73

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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.