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Finding the Fourth Proportional to 205,565.60, 308,348.40 and 197,692.40

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Solution

The fourth proportional to 205,565.60, 308,348.40 and 197,692.40 is: 296,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,565.60 : 308,348.40 = 197,692.40 : x
  2. Step 2: Convert to fraction form
    205,565.60/308,348.40 = 197,692.40/x
  3. Step 3: Cross multiply
    205,565.60x = 308,348.40 × 197,692.40
  4. Step 4: Simplify right side
    205,565.60x = 60,958,135,232.16
  5. Step 5: Solve for x
    x = 60,958,135,232.16/205,565.60
  6. Step 6: Final answer
    x = 296,538.60

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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.