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Finding the Fourth Proportional to 101,175.93, 151,645.73 and 76,135.50

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Solution

The fourth proportional to 101,175.93, 151,645.73 and 76,135.50 is: 114,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,175.93 : 151,645.73 = 76,135.50 : x
  2. Step 2: Convert to fraction form
    101,175.93/151,645.73 = 76,135.50/x
  3. Step 3: Cross multiply
    101,175.93x = 151,645.73 × 76,135.50
  4. Step 4: Simplify right side
    101,175.93x = 11,545,623,095.74
  5. Step 5: Solve for x
    x = 11,545,623,095.74/101,175.93
  6. Step 6: Final answer
    x = 114,114.33

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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.