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Finding the Fourth Proportional to 260,431.02, 390,674.54 and 82,896.50

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Solution

The fourth proportional to 260,431.02, 390,674.54 and 82,896.50 is: 124,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,431.02 : 390,674.54 = 82,896.50 : x
  2. Step 2: Convert to fraction form
    260,431.02/390,674.54 = 82,896.50/x
  3. Step 3: Cross multiply
    260,431.02x = 390,674.54 × 82,896.50
  4. Step 4: Simplify right side
    260,431.02x = 32,385,549,637.25
  5. Step 5: Solve for x
    x = 32,385,549,637.25/260,431.02
  6. Step 6: Final answer
    x = 124,353.66

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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.