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Finding the Fourth Proportional to 118,097.52, 177,131.70 and 51,583.56

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Solution

The fourth proportional to 118,097.52, 177,131.70 and 51,583.56 is: 77,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,097.52 : 177,131.70 = 51,583.56 : x
  2. Step 2: Convert to fraction form
    118,097.52/177,131.70 = 51,583.56/x
  3. Step 3: Cross multiply
    118,097.52x = 177,131.70 × 51,583.56
  4. Step 4: Simplify right side
    118,097.52x = 9,137,083,674.85
  5. Step 5: Solve for x
    x = 9,137,083,674.85/118,097.52
  6. Step 6: Final answer
    x = 77,368.97

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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.