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Finding the Fourth Proportional to 118,046.80, 177,070.20 and 106,382.80

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Solution

The fourth proportional to 118,046.80, 177,070.20 and 106,382.80 is: 159,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,046.80 : 177,070.20 = 106,382.80 : x
  2. Step 2: Convert to fraction form
    118,046.80/177,070.20 = 106,382.80/x
  3. Step 3: Cross multiply
    118,046.80x = 177,070.20 × 106,382.80
  4. Step 4: Simplify right side
    118,046.80x = 18,837,223,672.56
  5. Step 5: Solve for x
    x = 18,837,223,672.56/118,046.80
  6. Step 6: Final answer
    x = 159,574.20

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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.