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Finding the Fourth Proportional to 158,413.52, 237,600.42 and 51,788.54

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Solution

The fourth proportional to 158,413.52, 237,600.42 and 51,788.54 is: 77,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,413.52 : 237,600.42 = 51,788.54 : x
  2. Step 2: Convert to fraction form
    158,413.52/237,600.42 = 51,788.54/x
  3. Step 3: Cross multiply
    158,413.52x = 237,600.42 × 51,788.54
  4. Step 4: Simplify right side
    158,413.52x = 12,304,978,855.19
  5. Step 5: Solve for x
    x = 12,304,978,855.19/158,413.52
  6. Step 6: Final answer
    x = 77,676.32

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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.