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Finding the Fourth Proportional to 215,409.96, 322,829.82 and 165,298.50

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Solution

The fourth proportional to 215,409.96, 322,829.82 and 165,298.50 is: 247,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,409.96 : 322,829.82 = 165,298.50 : x
  2. Step 2: Convert to fraction form
    215,409.96/322,829.82 = 165,298.50/x
  3. Step 3: Cross multiply
    215,409.96x = 322,829.82 × 165,298.50
  4. Step 4: Simplify right side
    215,409.96x = 53,363,285,001.27
  5. Step 5: Solve for x
    x = 53,363,285,001.27/215,409.96
  6. Step 6: Final answer
    x = 247,728.96

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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.