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Finding the Fourth Proportional to 118,698.54, 178,065.29 and 34,447.74

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Solution

The fourth proportional to 118,698.54, 178,065.29 and 34,447.74 is: 51,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,698.54 : 178,065.29 = 34,447.74 : x
  2. Step 2: Convert to fraction form
    118,698.54/178,065.29 = 34,447.74/x
  3. Step 3: Cross multiply
    118,698.54x = 178,065.29 × 34,447.74
  4. Step 4: Simplify right side
    118,698.54x = 6,133,946,812.94
  5. Step 5: Solve for x
    x = 6,133,946,812.94/118,698.54
  6. Step 6: Final answer
    x = 51,676.68

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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.