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Finding the Fourth Proportional to 110,491.40, 165,866.70 and 109,713.80

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Solution

The fourth proportional to 110,491.40, 165,866.70 and 109,713.80 is: 164,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,491.40 : 165,866.70 = 109,713.80 : x
  2. Step 2: Convert to fraction form
    110,491.40/165,866.70 = 109,713.80/x
  3. Step 3: Cross multiply
    110,491.40x = 165,866.70 × 109,713.80
  4. Step 4: Simplify right side
    110,491.40x = 18,197,865,950.46
  5. Step 5: Solve for x
    x = 18,197,865,950.46/110,491.40
  6. Step 6: Final answer
    x = 164,699.39

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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.