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Finding the Fourth Proportional to 218,705.40, 301,750.52 and 142,336.85

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Solution

The fourth proportional to 218,705.40, 301,750.52 and 142,336.85 is: 196,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,705.40 : 301,750.52 = 142,336.85 : x
  2. Step 2: Convert to fraction form
    218,705.40/301,750.52 = 142,336.85/x
  3. Step 3: Cross multiply
    218,705.40x = 301,750.52 × 142,336.85
  4. Step 4: Simplify right side
    218,705.40x = 42,950,216,282.23
  5. Step 5: Solve for x
    x = 42,950,216,282.23/218,705.40
  6. Step 6: Final answer
    x = 196,383.89

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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.