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Finding the Fourth Proportional to 99,309.85, 148,964.84 and 29,238.37

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Solution

The fourth proportional to 99,309.85, 148,964.84 and 29,238.37 is: 43,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,309.85 : 148,964.84 = 29,238.37 : x
  2. Step 2: Convert to fraction form
    99,309.85/148,964.84 = 29,238.37/x
  3. Step 3: Cross multiply
    99,309.85x = 148,964.84 × 29,238.37
  4. Step 4: Simplify right side
    99,309.85x = 4,355,488,699.95
  5. Step 5: Solve for x
    x = 4,355,488,699.95/99,309.85
  6. Step 6: Final answer
    x = 43,857.57

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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.