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Finding the Fourth Proportional to 234,785.96, 323,804.81 and 180,469.76

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Solution

The fourth proportional to 234,785.96, 323,804.81 and 180,469.76 is: 248,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,785.96 : 323,804.81 = 180,469.76 : x
  2. Step 2: Convert to fraction form
    234,785.96/323,804.81 = 180,469.76/x
  3. Step 3: Cross multiply
    234,785.96x = 323,804.81 × 180,469.76
  4. Step 4: Simplify right side
    234,785.96x = 58,436,976,254.71
  5. Step 5: Solve for x
    x = 58,436,976,254.71/234,785.96
  6. Step 6: Final answer
    x = 248,894.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.