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Finding the Fourth Proportional to 174,229.60, 261,344.40 and 162,419.80

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Solution

The fourth proportional to 174,229.60, 261,344.40 and 162,419.80 is: 243,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,229.60 : 261,344.40 = 162,419.80 : x
  2. Step 2: Convert to fraction form
    174,229.60/261,344.40 = 162,419.80/x
  3. Step 3: Cross multiply
    174,229.60x = 261,344.40 × 162,419.80
  4. Step 4: Simplify right side
    174,229.60x = 42,447,505,179.12
  5. Step 5: Solve for x
    x = 42,447,505,179.12/174,229.60
  6. Step 6: Final answer
    x = 243,629.70

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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.