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Finding the Fourth Proportional to 148,287.35, 222,429.20 and 35,968.50

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Solution

The fourth proportional to 148,287.35, 222,429.20 and 35,968.50 is: 53,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,287.35 : 222,429.20 = 35,968.50 : x
  2. Step 2: Convert to fraction form
    148,287.35/222,429.20 = 35,968.50/x
  3. Step 3: Cross multiply
    148,287.35x = 222,429.20 × 35,968.50
  4. Step 4: Simplify right side
    148,287.35x = 8,000,444,500.36
  5. Step 5: Solve for x
    x = 8,000,444,500.36/148,287.35
  6. Step 6: Final answer
    x = 53,952.31

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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.