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Finding the Fourth Proportional to 118,980.78, 178,468.34 and 34,737.54

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Solution

The fourth proportional to 118,980.78, 178,468.34 and 34,737.54 is: 52,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,980.78 : 178,468.34 = 34,737.54 : x
  2. Step 2: Convert to fraction form
    118,980.78/178,468.34 = 34,737.54/x
  3. Step 3: Cross multiply
    118,980.78x = 178,468.34 × 34,737.54
  4. Step 4: Simplify right side
    118,980.78x = 6,199,550,925.80
  5. Step 5: Solve for x
    x = 6,199,550,925.80/118,980.78
  6. Step 6: Final answer
    x = 52,105.48

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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.