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Finding the Fourth Proportional to 118,713.40, 178,069.43 and 29,966.54

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Solution

The fourth proportional to 118,713.40, 178,069.43 and 29,966.54 is: 44,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,713.40 : 178,069.43 = 29,966.54 : x
  2. Step 2: Convert to fraction form
    118,713.40/178,069.43 = 29,966.54/x
  3. Step 3: Cross multiply
    118,713.40x = 178,069.43 × 29,966.54
  4. Step 4: Simplify right side
    118,713.40x = 5,336,124,696.87
  5. Step 5: Solve for x
    x = 5,336,124,696.87/118,713.40
  6. Step 6: Final answer
    x = 44,949.64

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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.