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Finding the Fourth Proportional to 291,825.20, 437,683.80 and 81,419.60

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Solution

The fourth proportional to 291,825.20, 437,683.80 and 81,419.60 is: 122,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,825.20 : 437,683.80 = 81,419.60 : x
  2. Step 2: Convert to fraction form
    291,825.20/437,683.80 = 81,419.60/x
  3. Step 3: Cross multiply
    291,825.20x = 437,683.80 × 81,419.60
  4. Step 4: Simplify right side
    291,825.20x = 35,636,039,922.48
  5. Step 5: Solve for x
    x = 35,636,039,922.48/291,825.20
  6. Step 6: Final answer
    x = 122,114.33

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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.