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Finding the Fourth Proportional to 121,496.40, 182,165.40 and 109,054.80

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Solution

The fourth proportional to 121,496.40, 182,165.40 and 109,054.80 is: 163,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,496.40 : 182,165.40 = 109,054.80 : x
  2. Step 2: Convert to fraction form
    121,496.40/182,165.40 = 109,054.80/x
  3. Step 3: Cross multiply
    121,496.40x = 182,165.40 × 109,054.80
  4. Step 4: Simplify right side
    121,496.40x = 19,866,011,263.92
  5. Step 5: Solve for x
    x = 19,866,011,263.92/121,496.40
  6. Step 6: Final answer
    x = 163,511.11

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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.