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Finding the Fourth Proportional to 118,654.79, 178,019.44 and 52,150.82

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Solution

The fourth proportional to 118,654.79, 178,019.44 and 52,150.82 is: 78,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,654.79 : 178,019.44 = 52,150.82 : x
  2. Step 2: Convert to fraction form
    118,654.79/178,019.44 = 52,150.82/x
  3. Step 3: Cross multiply
    118,654.79x = 178,019.44 × 52,150.82
  4. Step 4: Simplify right side
    118,654.79x = 9,283,858,751.47
  5. Step 5: Solve for x
    x = 9,283,858,751.47/118,654.79
  6. Step 6: Final answer
    x = 78,242.60

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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.