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Finding the Fourth Proportional to 218,858.68, 302,082.33 and 142,587.10

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Solution

The fourth proportional to 218,858.68, 302,082.33 and 142,587.10 is: 196,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,858.68 : 302,082.33 = 142,587.10 : x
  2. Step 2: Convert to fraction form
    218,858.68/302,082.33 = 142,587.10/x
  3. Step 3: Cross multiply
    218,858.68x = 302,082.33 × 142,587.10
  4. Step 4: Simplify right side
    218,858.68x = 43,073,043,395.94
  5. Step 5: Solve for x
    x = 43,073,043,395.94/218,858.68
  6. Step 6: Final answer
    x = 196,807.56

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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.