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Finding the Fourth Proportional to 260,168.82, 359,039.97 and 146,989.14

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Solution

The fourth proportional to 260,168.82, 359,039.97 and 146,989.14 is: 202,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,168.82 : 359,039.97 = 146,989.14 : x
  2. Step 2: Convert to fraction form
    260,168.82/359,039.97 = 146,989.14/x
  3. Step 3: Cross multiply
    260,168.82x = 359,039.97 × 146,989.14
  4. Step 4: Simplify right side
    260,168.82x = 52,774,976,415.93
  5. Step 5: Solve for x
    x = 52,774,976,415.93/260,168.82
  6. Step 6: Final answer
    x = 202,848.97

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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.