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Finding the Fourth Proportional to 258,071.54, 386,670.38 and 158,022.77

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Solution

The fourth proportional to 258,071.54, 386,670.38 and 158,022.77 is: 236,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,071.54 : 386,670.38 = 158,022.77 : x
  2. Step 2: Convert to fraction form
    258,071.54/386,670.38 = 158,022.77/x
  3. Step 3: Cross multiply
    258,071.54x = 386,670.38 × 158,022.77
  4. Step 4: Simplify right side
    258,071.54x = 61,102,721,801.09
  5. Step 5: Solve for x
    x = 61,102,721,801.09/258,071.54
  6. Step 6: Final answer
    x = 236,766.61

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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.