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Finding the Fourth Proportional to 118,154.88, 163,012.56 and 75,736.80

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Solution

The fourth proportional to 118,154.88, 163,012.56 and 75,736.80 is: 104,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,154.88 : 163,012.56 = 75,736.80 : x
  2. Step 2: Convert to fraction form
    118,154.88/163,012.56 = 75,736.80/x
  3. Step 3: Cross multiply
    118,154.88x = 163,012.56 × 75,736.80
  4. Step 4: Simplify right side
    118,154.88x = 12,346,049,654.21
  5. Step 5: Solve for x
    x = 12,346,049,654.21/118,154.88
  6. Step 6: Final answer
    x = 104,490.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.