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Finding the Fourth Proportional to 144,353.72, 199,204.62 and 80,699

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Solution

The fourth proportional to 144,353.72, 199,204.62 and 80,699 is: 111,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,353.72 : 199,204.62 = 80,699 : x
  2. Step 2: Convert to fraction form
    144,353.72/199,204.62 = 80,699/x
  3. Step 3: Cross multiply
    144,353.72x = 199,204.62 × 80,699
  4. Step 4: Simplify right side
    144,353.72x = 16,075,613,629.38
  5. Step 5: Solve for x
    x = 16,075,613,629.38/144,353.72
  6. Step 6: Final answer
    x = 111,362.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.