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Finding the Fourth Proportional to 81,244.20, 121,866.30 and 78,133.80

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Solution

The fourth proportional to 81,244.20, 121,866.30 and 78,133.80 is: 117,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,244.20 : 121,866.30 = 78,133.80 : x
  2. Step 2: Convert to fraction form
    81,244.20/121,866.30 = 78,133.80/x
  3. Step 3: Cross multiply
    81,244.20x = 121,866.30 × 78,133.80
  4. Step 4: Simplify right side
    81,244.20x = 9,521,877,110.94
  5. Step 5: Solve for x
    x = 9,521,877,110.94/81,244.20
  6. Step 6: Final answer
    x = 117,200.70

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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.