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Finding the Fourth Proportional to 109,884.64, 164,894.64 and 43,313.44

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Solution

The fourth proportional to 109,884.64, 164,894.64 and 43,313.44 is: 64,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,884.64 : 164,894.64 = 43,313.44 : x
  2. Step 2: Convert to fraction form
    109,884.64/164,894.64 = 43,313.44/x
  3. Step 3: Cross multiply
    109,884.64x = 164,894.64 × 43,313.44
  4. Step 4: Simplify right side
    109,884.64x = 7,142,154,095.96
  5. Step 5: Solve for x
    x = 7,142,154,095.96/109,884.64
  6. Step 6: Final answer
    x = 64,996.84

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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.