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Finding the Fourth Proportional to 109,739.40, 164,609.10 and 109,739.40

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Solution

The fourth proportional to 109,739.40, 164,609.10 and 109,739.40 is: 164,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,739.40 : 164,609.10 = 109,739.40 : x
  2. Step 2: Convert to fraction form
    109,739.40/164,609.10 = 109,739.40/x
  3. Step 3: Cross multiply
    109,739.40x = 164,609.10 × 109,739.40
  4. Step 4: Simplify right side
    109,739.40x = 18,064,103,868.54
  5. Step 5: Solve for x
    x = 18,064,103,868.54/109,739.40
  6. Step 6: Final answer
    x = 164,609.10

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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.