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Finding the Fourth Proportional to 334,214.65, 461,213.07 and 181,256.21

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Solution

The fourth proportional to 334,214.65, 461,213.07 and 181,256.21 is: 250,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,214.65 : 461,213.07 = 181,256.21 : x
  2. Step 2: Convert to fraction form
    334,214.65/461,213.07 = 181,256.21/x
  3. Step 3: Cross multiply
    334,214.65x = 461,213.07 × 181,256.21
  4. Step 4: Simplify right side
    334,214.65x = 83,597,733,070.66
  5. Step 5: Solve for x
    x = 83,597,733,070.66/334,214.65
  6. Step 6: Final answer
    x = 250,131.87

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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.