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Finding the Fourth Proportional to 218,862.68, 302,087.86 and 142,591.10

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Solution

The fourth proportional to 218,862.68, 302,087.86 and 142,591.10 is: 196,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,862.68 : 302,087.86 = 142,591.10 : x
  2. Step 2: Convert to fraction form
    218,862.68/302,087.86 = 142,591.10/x
  3. Step 3: Cross multiply
    218,862.68x = 302,087.86 × 142,591.10
  4. Step 4: Simplify right side
    218,862.68x = 43,075,040,254.05
  5. Step 5: Solve for x
    x = 43,075,040,254.05/218,862.68
  6. Step 6: Final answer
    x = 196,813.09

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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.