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Finding the Fourth Proportional to 165,160.96, 247,750.86 and 46,823

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Solution

The fourth proportional to 165,160.96, 247,750.86 and 46,823 is: 70,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,160.96 : 247,750.86 = 46,823 : x
  2. Step 2: Convert to fraction form
    165,160.96/247,750.86 = 46,823/x
  3. Step 3: Cross multiply
    165,160.96x = 247,750.86 × 46,823
  4. Step 4: Simplify right side
    165,160.96x = 11,600,438,517.78
  5. Step 5: Solve for x
    x = 11,600,438,517.78/165,160.96
  6. Step 6: Final answer
    x = 70,237.17

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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.