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Finding the Fourth Proportional to 125,832.51, 188,814.42 and 51,007.95

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Solution

The fourth proportional to 125,832.51, 188,814.42 and 51,007.95 is: 76,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,832.51 : 188,814.42 = 51,007.95 : x
  2. Step 2: Convert to fraction form
    125,832.51/188,814.42 = 51,007.95/x
  3. Step 3: Cross multiply
    125,832.51x = 188,814.42 × 51,007.95
  4. Step 4: Simplify right side
    125,832.51x = 9,631,036,494.64
  5. Step 5: Solve for x
    x = 9,631,036,494.64/125,832.51
  6. Step 6: Final answer
    x = 76,538.54

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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.