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Finding the Fourth Proportional to 422,102.21, 632,923.65 and 152,193.60

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Solution

The fourth proportional to 422,102.21, 632,923.65 and 152,193.60 is: 228,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,102.21 : 632,923.65 = 152,193.60 : x
  2. Step 2: Convert to fraction form
    422,102.21/632,923.65 = 152,193.60/x
  3. Step 3: Cross multiply
    422,102.21x = 632,923.65 × 152,193.60
  4. Step 4: Simplify right side
    422,102.21x = 96,326,928,818.64
  5. Step 5: Solve for x
    x = 96,326,928,818.64/422,102.21
  6. Step 6: Final answer
    x = 228,207.59

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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.