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Finding the Fourth Proportional to 118,380.41, 178,369.81 and 97,781.94

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Solution

The fourth proportional to 118,380.41, 178,369.81 and 97,781.94 is: 147,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,380.41 : 178,369.81 = 97,781.94 : x
  2. Step 2: Convert to fraction form
    118,380.41/178,369.81 = 97,781.94/x
  3. Step 3: Cross multiply
    118,380.41x = 178,369.81 × 97,781.94
  4. Step 4: Simplify right side
    118,380.41x = 17,441,346,059.23
  5. Step 5: Solve for x
    x = 17,441,346,059.23/118,380.41
  6. Step 6: Final answer
    x = 147,333.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.