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Finding the Fourth Proportional to 118,414, 177,708.48 and 56,084.50

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Solution

The fourth proportional to 118,414, 177,708.48 and 56,084.50 is: 84,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,414 : 177,708.48 = 56,084.50 : x
  2. Step 2: Convert to fraction form
    118,414/177,708.48 = 56,084.50/x
  3. Step 3: Cross multiply
    118,414x = 177,708.48 × 56,084.50
  4. Step 4: Simplify right side
    118,414x = 9,966,691,246.56
  5. Step 5: Solve for x
    x = 9,966,691,246.56/118,414
  6. Step 6: Final answer
    x = 84,168.18

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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.