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Finding the Fourth Proportional to 158,236.88, 237,413.63 and 83,354.00

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Solution

The fourth proportional to 158,236.88, 237,413.63 and 83,354.00 is: 125,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,236.88 : 237,413.63 = 83,354.00 : x
  2. Step 2: Convert to fraction form
    158,236.88/237,413.63 = 83,354.00/x
  3. Step 3: Cross multiply
    158,236.88x = 237,413.63 × 83,354.00
  4. Step 4: Simplify right side
    158,236.88x = 19,789,374,736.34
  5. Step 5: Solve for x
    x = 19,789,374,736.34/158,236.88
  6. Step 6: Final answer
    x = 125,061.71

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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.