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Finding the Fourth Proportional to 118,983.78, 178,472.84 and 34,740.54

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Solution

The fourth proportional to 118,983.78, 178,472.84 and 34,740.54 is: 52,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,983.78 : 178,472.84 = 34,740.54 : x
  2. Step 2: Convert to fraction form
    118,983.78/178,472.84 = 34,740.54/x
  3. Step 3: Cross multiply
    118,983.78x = 178,472.84 × 34,740.54
  4. Step 4: Simplify right side
    118,983.78x = 6,200,242,663.23
  5. Step 5: Solve for x
    x = 6,200,242,663.23/118,983.78
  6. Step 6: Final answer
    x = 52,109.98

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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.