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Finding the Fourth Proportional to 118,097.80, 177,128.43 and 43,200.43

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Solution

The fourth proportional to 118,097.80, 177,128.43 and 43,200.43 is: 64,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,097.80 : 177,128.43 = 43,200.43 : x
  2. Step 2: Convert to fraction form
    118,097.80/177,128.43 = 43,200.43/x
  3. Step 3: Cross multiply
    118,097.80x = 177,128.43 × 43,200.43
  4. Step 4: Simplify right side
    118,097.80x = 7,652,024,341.22
  5. Step 5: Solve for x
    x = 7,652,024,341.22/118,097.80
  6. Step 6: Final answer
    x = 64,793.96

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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.