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Finding the Fourth Proportional to 316,066, 436,171.04 and 172,826.14

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Solution

The fourth proportional to 316,066, 436,171.04 and 172,826.14 is: 238,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,066 : 436,171.04 = 172,826.14 : x
  2. Step 2: Convert to fraction form
    316,066/436,171.04 = 172,826.14/x
  3. Step 3: Cross multiply
    316,066x = 436,171.04 × 172,826.14
  4. Step 4: Simplify right side
    316,066x = 75,381,757,222.99
  5. Step 5: Solve for x
    x = 75,381,757,222.99/316,066
  6. Step 6: Final answer
    x = 238,500.05

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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.