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Finding the Fourth Proportional to 260,664.96, 390,990.60 and 83,182.80

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Solution

The fourth proportional to 260,664.96, 390,990.60 and 83,182.80 is: 124,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,664.96 : 390,990.60 = 83,182.80 : x
  2. Step 2: Convert to fraction form
    260,664.96/390,990.60 = 83,182.80/x
  3. Step 3: Cross multiply
    260,664.96x = 390,990.60 × 83,182.80
  4. Step 4: Simplify right side
    260,664.96x = 32,523,692,881.68
  5. Step 5: Solve for x
    x = 32,523,692,881.68/260,664.96
  6. Step 6: Final answer
    x = 124,772.02

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Why These Related Problems?

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