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Finding the Fourth Proportional to 218,858.18, 302,081.64 and 142,586.60

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Solution

The fourth proportional to 218,858.18, 302,081.64 and 142,586.60 is: 196,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,858.18 : 302,081.64 = 142,586.60 : x
  2. Step 2: Convert to fraction form
    218,858.18/302,081.64 = 142,586.60/x
  3. Step 3: Cross multiply
    218,858.18x = 302,081.64 × 142,586.60
  4. Step 4: Simplify right side
    218,858.18x = 43,072,793,970.02
  5. Step 5: Solve for x
    x = 43,072,793,970.02/218,858.18
  6. Step 6: Final answer
    x = 196,806.87

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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.