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Finding the Fourth Proportional to 289,021.90, 433,524.70 and 78,661.66

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Solution

The fourth proportional to 289,021.90, 433,524.70 and 78,661.66 is: 117,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,021.90 : 433,524.70 = 78,661.66 : x
  2. Step 2: Convert to fraction form
    289,021.90/433,524.70 = 78,661.66/x
  3. Step 3: Cross multiply
    289,021.90x = 433,524.70 × 78,661.66
  4. Step 4: Simplify right side
    289,021.90x = 34,101,772,553.00
  5. Step 5: Solve for x
    x = 34,101,772,553.00/289,021.90
  6. Step 6: Final answer
    x = 117,990.27

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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.