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Finding the Fourth Proportional to 101,505.25, 140,077.55 and 56,186.38

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Solution

The fourth proportional to 101,505.25, 140,077.55 and 56,186.38 is: 77,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,505.25 : 140,077.55 = 56,186.38 : x
  2. Step 2: Convert to fraction form
    101,505.25/140,077.55 = 56,186.38/x
  3. Step 3: Cross multiply
    101,505.25x = 140,077.55 × 56,186.38
  4. Step 4: Simplify right side
    101,505.25x = 7,870,450,244.04
  5. Step 5: Solve for x
    x = 7,870,450,244.04/101,505.25
  6. Step 6: Final answer
    x = 77,537.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.