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Finding the Fourth Proportional to 109,662.84, 164,502.36 and 96,605.64

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Solution

The fourth proportional to 109,662.84, 164,502.36 and 96,605.64 is: 144,915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,662.84 : 164,502.36 = 96,605.64 : x
  2. Step 2: Convert to fraction form
    109,662.84/164,502.36 = 96,605.64/x
  3. Step 3: Cross multiply
    109,662.84x = 164,502.36 × 96,605.64
  4. Step 4: Simplify right side
    109,662.84x = 15,891,855,769.31
  5. Step 5: Solve for x
    x = 15,891,855,769.31/109,662.84
  6. Step 6: Final answer
    x = 144,915.60

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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.