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Finding the Fourth Proportional to 209,008.64, 288,514.64 and 145,383.36

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Solution

The fourth proportional to 209,008.64, 288,514.64 and 145,383.36 is: 200,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,008.64 : 288,514.64 = 145,383.36 : x
  2. Step 2: Convert to fraction form
    209,008.64/288,514.64 = 145,383.36/x
  3. Step 3: Cross multiply
    209,008.64x = 288,514.64 × 145,383.36
  4. Step 4: Simplify right side
    209,008.64x = 41,945,227,772.39
  5. Step 5: Solve for x
    x = 41,945,227,772.39/209,008.64
  6. Step 6: Final answer
    x = 200,686.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.