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Finding the Fourth Proportional to 165,188.40, 247,792 and 46,850.38

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Solution

The fourth proportional to 165,188.40, 247,792 and 46,850.38 is: 70,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,188.40 : 247,792 = 46,850.38 : x
  2. Step 2: Convert to fraction form
    165,188.40/247,792 = 46,850.38/x
  3. Step 3: Cross multiply
    165,188.40x = 247,792 × 46,850.38
  4. Step 4: Simplify right side
    165,188.40x = 11,609,149,360.96
  5. Step 5: Solve for x
    x = 11,609,149,360.96/165,188.40
  6. Step 6: Final answer
    x = 70,278.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.