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Finding the Fourth Proportional to 144,225.96, 200,050.11 and 140,389.80

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Solution

The fourth proportional to 144,225.96, 200,050.11 and 140,389.80 is: 194,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,225.96 : 200,050.11 = 140,389.80 : x
  2. Step 2: Convert to fraction form
    144,225.96/200,050.11 = 140,389.80/x
  3. Step 3: Cross multiply
    144,225.96x = 200,050.11 × 140,389.80
  4. Step 4: Simplify right side
    144,225.96x = 28,084,994,932.88
  5. Step 5: Solve for x
    x = 28,084,994,932.88/144,225.96
  6. Step 6: Final answer
    x = 194,729.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.