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Finding the Fourth Proportional to 165,156.96, 247,744.86 and 46,819

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Solution

The fourth proportional to 165,156.96, 247,744.86 and 46,819 is: 70,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,156.96 : 247,744.86 = 46,819 : x
  2. Step 2: Convert to fraction form
    165,156.96/247,744.86 = 46,819/x
  3. Step 3: Cross multiply
    165,156.96x = 247,744.86 × 46,819
  4. Step 4: Simplify right side
    165,156.96x = 11,599,166,600.34
  5. Step 5: Solve for x
    x = 11,599,166,600.34/165,156.96
  6. Step 6: Final answer
    x = 70,231.17

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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.