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Finding the Fourth Proportional to 214,417.80, 295,891.92 and 118,922.40

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Solution

The fourth proportional to 214,417.80, 295,891.92 and 118,922.40 is: 164,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,417.80 : 295,891.92 = 118,922.40 : x
  2. Step 2: Convert to fraction form
    214,417.80/295,891.92 = 118,922.40/x
  3. Step 3: Cross multiply
    214,417.80x = 295,891.92 × 118,922.40
  4. Step 4: Simplify right side
    214,417.80x = 35,188,177,267.01
  5. Step 5: Solve for x
    x = 35,188,177,267.01/214,417.80
  6. Step 6: Final answer
    x = 164,110.34

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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.