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Finding the Fourth Proportional to 101,049.48, 151,705.44 and 77,692.32

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Solution

The fourth proportional to 101,049.48, 151,705.44 and 77,692.32 is: 116,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,049.48 : 151,705.44 = 77,692.32 : x
  2. Step 2: Convert to fraction form
    101,049.48/151,705.44 = 77,692.32/x
  3. Step 3: Cross multiply
    101,049.48x = 151,705.44 × 77,692.32
  4. Step 4: Simplify right side
    101,049.48x = 11,786,347,590.22
  5. Step 5: Solve for x
    x = 11,786,347,590.22/101,049.48
  6. Step 6: Final answer
    x = 116,639.37

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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.