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Finding the Fourth Proportional to 116,414.60, 174,698.70 and 42,542.60

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Solution

The fourth proportional to 116,414.60, 174,698.70 and 42,542.60 is: 63,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,414.60 : 174,698.70 = 42,542.60 : x
  2. Step 2: Convert to fraction form
    116,414.60/174,698.70 = 42,542.60/x
  3. Step 3: Cross multiply
    116,414.60x = 174,698.70 × 42,542.60
  4. Step 4: Simplify right side
    116,414.60x = 7,432,136,914.62
  5. Step 5: Solve for x
    x = 7,432,136,914.62/116,414.60
  6. Step 6: Final answer
    x = 63,841.97

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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.