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Finding the Fourth Proportional to 150,407.28, 207,562.29 and 82,413.45

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Solution

The fourth proportional to 150,407.28, 207,562.29 and 82,413.45 is: 113,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,407.28 : 207,562.29 = 82,413.45 : x
  2. Step 2: Convert to fraction form
    150,407.28/207,562.29 = 82,413.45/x
  3. Step 3: Cross multiply
    150,407.28x = 207,562.29 × 82,413.45
  4. Step 4: Simplify right side
    150,407.28x = 17,105,924,408.80
  5. Step 5: Solve for x
    x = 17,105,924,408.80/150,407.28
  6. Step 6: Final answer
    x = 113,730.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.