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Finding the Fourth Proportional to 215,410.96, 322,831.32 and 165,299.50

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Solution

The fourth proportional to 215,410.96, 322,831.32 and 165,299.50 is: 247,730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,410.96 : 322,831.32 = 165,299.50 : x
  2. Step 2: Convert to fraction form
    215,410.96/322,831.32 = 165,299.50/x
  3. Step 3: Cross multiply
    215,410.96x = 322,831.32 × 165,299.50
  4. Step 4: Simplify right side
    215,410.96x = 53,363,855,780.34
  5. Step 5: Solve for x
    x = 53,363,855,780.34/215,410.96
  6. Step 6: Final answer
    x = 247,730.46

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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.