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Finding the Fourth Proportional to 109,908.54, 164,776.68 and 43,398.45

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Solution

The fourth proportional to 109,908.54, 164,776.68 and 43,398.45 is: 65,063.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,908.54 : 164,776.68 = 43,398.45 : x
  2. Step 2: Convert to fraction form
    109,908.54/164,776.68 = 43,398.45/x
  3. Step 3: Cross multiply
    109,908.54x = 164,776.68 × 43,398.45
  4. Step 4: Simplify right side
    109,908.54x = 7,151,052,345.40
  5. Step 5: Solve for x
    x = 7,151,052,345.40/109,908.54
  6. Step 6: Final answer
    x = 65,063.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.