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Finding the Fourth Proportional to 234,783.96, 323,954.60 and 148,776.54

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Solution

The fourth proportional to 234,783.96, 323,954.60 and 148,776.54 is: 205,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,783.96 : 323,954.60 = 148,776.54 : x
  2. Step 2: Convert to fraction form
    234,783.96/323,954.60 = 148,776.54/x
  3. Step 3: Cross multiply
    234,783.96x = 323,954.60 × 148,776.54
  4. Step 4: Simplify right side
    234,783.96x = 48,196,844,505.08
  5. Step 5: Solve for x
    x = 48,196,844,505.08/234,783.96
  6. Step 6: Final answer
    x = 205,281.67

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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.