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Finding the Fourth Proportional to 260,114.25, 358,986.84 and 146,944.29

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Solution

The fourth proportional to 260,114.25, 358,986.84 and 146,944.29 is: 202,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,114.25 : 358,986.84 = 146,944.29 : x
  2. Step 2: Convert to fraction form
    260,114.25/358,986.84 = 146,944.29/x
  3. Step 3: Cross multiply
    260,114.25x = 358,986.84 × 146,944.29
  4. Step 4: Simplify right side
    260,114.25x = 52,751,066,323.14
  5. Step 5: Solve for x
    x = 52,751,066,323.14/260,114.25
  6. Step 6: Final answer
    x = 202,799.60

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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.