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Finding the Fourth Proportional to 215,419.80, 323,475.30 and 145,608.60

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Solution

The fourth proportional to 215,419.80, 323,475.30 and 145,608.60 is: 218,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,419.80 : 323,475.30 = 145,608.60 : x
  2. Step 2: Convert to fraction form
    215,419.80/323,475.30 = 145,608.60/x
  3. Step 3: Cross multiply
    215,419.80x = 323,475.30 × 145,608.60
  4. Step 4: Simplify right side
    215,419.80x = 47,100,785,567.58
  5. Step 5: Solve for x
    x = 47,100,785,567.58/215,419.80
  6. Step 6: Final answer
    x = 218,646.50

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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.