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Finding the Fourth Proportional to 109,966.40, 164,877.60 and 43,366.40

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Solution

The fourth proportional to 109,966.40, 164,877.60 and 43,366.40 is: 65,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,966.40 : 164,877.60 = 43,366.40 : x
  2. Step 2: Convert to fraction form
    109,966.40/164,877.60 = 43,366.40/x
  3. Step 3: Cross multiply
    109,966.40x = 164,877.60 × 43,366.40
  4. Step 4: Simplify right side
    109,966.40x = 7,150,147,952.64
  5. Step 5: Solve for x
    x = 7,150,147,952.64/109,966.40
  6. Step 6: Final answer
    x = 65,021.21

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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.