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Finding the Fourth Proportional to 289,147.78, 433,751.01 and 99,583.39

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Solution

The fourth proportional to 289,147.78, 433,751.01 and 99,583.39 is: 149,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,147.78 : 433,751.01 = 99,583.39 : x
  2. Step 2: Convert to fraction form
    289,147.78/433,751.01 = 99,583.39/x
  3. Step 3: Cross multiply
    289,147.78x = 433,751.01 × 99,583.39
  4. Step 4: Simplify right side
    289,147.78x = 43,194,395,991.72
  5. Step 5: Solve for x
    x = 43,194,395,991.72/289,147.78
  6. Step 6: Final answer
    x = 149,385.19

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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.