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Finding the Fourth Proportional to 461,209.50, 691,916.49 and 141,405.66

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Solution

The fourth proportional to 461,209.50, 691,916.49 and 141,405.66 is: 212,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,209.50 : 691,916.49 = 141,405.66 : x
  2. Step 2: Convert to fraction form
    461,209.50/691,916.49 = 141,405.66/x
  3. Step 3: Cross multiply
    461,209.50x = 691,916.49 × 141,405.66
  4. Step 4: Simplify right side
    461,209.50x = 97,840,907,933.33
  5. Step 5: Solve for x
    x = 97,840,907,933.33/461,209.50
  6. Step 6: Final answer
    x = 212,139.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.