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Finding the Fourth Proportional to 218,972.18, 302,229.98 and 142,357.92

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Solution

The fourth proportional to 218,972.18, 302,229.98 and 142,357.92 is: 196,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,972.18 : 302,229.98 = 142,357.92 : x
  2. Step 2: Convert to fraction form
    218,972.18/302,229.98 = 142,357.92/x
  3. Step 3: Cross multiply
    218,972.18x = 302,229.98 × 142,357.92
  4. Step 4: Simplify right side
    218,972.18x = 43,024,831,314.44
  5. Step 5: Solve for x
    x = 43,024,831,314.44/218,972.18
  6. Step 6: Final answer
    x = 196,485.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.