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Finding the Fourth Proportional to 208,799.68, 288,143.82 and 113,308

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Solution

The fourth proportional to 208,799.68, 288,143.82 and 113,308 is: 156,365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,799.68 : 288,143.82 = 113,308 : x
  2. Step 2: Convert to fraction form
    208,799.68/288,143.82 = 113,308/x
  3. Step 3: Cross multiply
    208,799.68x = 288,143.82 × 113,308
  4. Step 4: Simplify right side
    208,799.68x = 32,648,999,956.56
  5. Step 5: Solve for x
    x = 32,648,999,956.56/208,799.68
  6. Step 6: Final answer
    x = 156,365.18

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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.