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Finding the Fourth Proportional to 116,668.50, 175,028.67 and 42,796.50

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Solution

The fourth proportional to 116,668.50, 175,028.67 and 42,796.50 is: 64,204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,668.50 : 175,028.67 = 42,796.50 : x
  2. Step 2: Convert to fraction form
    116,668.50/175,028.67 = 42,796.50/x
  3. Step 3: Cross multiply
    116,668.50x = 175,028.67 × 42,796.50
  4. Step 4: Simplify right side
    116,668.50x = 7,490,614,475.66
  5. Step 5: Solve for x
    x = 7,490,614,475.66/116,668.50
  6. Step 6: Final answer
    x = 64,204.26

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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.