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Finding the Fourth Proportional to 118,097.20, 177,350.60 and 83,281.20

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Solution

The fourth proportional to 118,097.20, 177,350.60 and 83,281.20 is: 125,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,097.20 : 177,350.60 = 83,281.20 : x
  2. Step 2: Convert to fraction form
    118,097.20/177,350.60 = 83,281.20/x
  3. Step 3: Cross multiply
    118,097.20x = 177,350.60 × 83,281.20
  4. Step 4: Simplify right side
    118,097.20x = 14,769,970,788.72
  5. Step 5: Solve for x
    x = 14,769,970,788.72/118,097.20
  6. Step 6: Final answer
    x = 125,066.22

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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.