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Finding the Fourth Proportional to 208,989.60, 288,392.04 and 133,530

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Solution

The fourth proportional to 208,989.60, 288,392.04 and 133,530 is: 184,262.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,989.60 : 288,392.04 = 133,530 : x
  2. Step 2: Convert to fraction form
    208,989.60/288,392.04 = 133,530/x
  3. Step 3: Cross multiply
    208,989.60x = 288,392.04 × 133,530
  4. Step 4: Simplify right side
    208,989.60x = 38,508,989,101.20
  5. Step 5: Solve for x
    x = 38,508,989,101.20/208,989.60
  6. Step 6: Final answer
    x = 184,262.71

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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.