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Finding the Fourth Proportional to 218,730.40, 301,784.96 and 142,361.84

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Solution

The fourth proportional to 218,730.40, 301,784.96 and 142,361.84 is: 196,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,730.40 : 301,784.96 = 142,361.84 : x
  2. Step 2: Convert to fraction form
    218,730.40/301,784.96 = 142,361.84/x
  3. Step 3: Cross multiply
    218,730.40x = 301,784.96 × 142,361.84
  4. Step 4: Simplify right side
    218,730.40x = 42,962,662,189.93
  5. Step 5: Solve for x
    x = 42,962,662,189.93/218,730.40
  6. Step 6: Final answer
    x = 196,418.34

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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.