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Finding the Fourth Proportional to 260,808.69, 359,924.84 and 146,092.23

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Solution

The fourth proportional to 260,808.69, 359,924.84 and 146,092.23 is: 201,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,808.69 : 359,924.84 = 146,092.23 : x
  2. Step 2: Convert to fraction form
    260,808.69/359,924.84 = 146,092.23/x
  3. Step 3: Cross multiply
    260,808.69x = 359,924.84 × 146,092.23
  4. Step 4: Simplify right side
    260,808.69x = 52,582,221,777.53
  5. Step 5: Solve for x
    x = 52,582,221,777.53/260,808.69
  6. Step 6: Final answer
    x = 201,612.23

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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.