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Finding the Fourth Proportional to 123,770.70, 185,744.48 and 52,743.06

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Solution

The fourth proportional to 123,770.70, 185,744.48 and 52,743.06 is: 79,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,770.70 : 185,744.48 = 52,743.06 : x
  2. Step 2: Convert to fraction form
    123,770.70/185,744.48 = 52,743.06/x
  3. Step 3: Cross multiply
    123,770.70x = 185,744.48 × 52,743.06
  4. Step 4: Simplify right side
    123,770.70x = 9,796,731,989.59
  5. Step 5: Solve for x
    x = 9,796,731,989.59/123,770.70
  6. Step 6: Final answer
    x = 79,152.27

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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.