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Finding the Fourth Proportional to 142,359.50, 213,668.04 and 75,855.80

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Solution

The fourth proportional to 142,359.50, 213,668.04 and 75,855.80 is: 113,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,359.50 : 213,668.04 = 75,855.80 : x
  2. Step 2: Convert to fraction form
    142,359.50/213,668.04 = 75,855.80/x
  3. Step 3: Cross multiply
    142,359.50x = 213,668.04 × 75,855.80
  4. Step 4: Simplify right side
    142,359.50x = 16,207,960,108.63
  5. Step 5: Solve for x
    x = 16,207,960,108.63/142,359.50
  6. Step 6: Final answer
    x = 113,852.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.