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Finding the Fourth Proportional to 260,300.48, 390,562.64 and 82,821.92

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Solution

The fourth proportional to 260,300.48, 390,562.64 and 82,821.92 is: 124,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,300.48 : 390,562.64 = 82,821.92 : x
  2. Step 2: Convert to fraction form
    260,300.48/390,562.64 = 82,821.92/x
  3. Step 3: Cross multiply
    260,300.48x = 390,562.64 × 82,821.92
  4. Step 4: Simplify right side
    260,300.48x = 32,347,147,725.07
  5. Step 5: Solve for x
    x = 32,347,147,725.07/260,300.48
  6. Step 6: Final answer
    x = 124,268.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.