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Finding the Fourth Proportional to 199,288.98, 299,075.63 and 110,613.42

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Solution

The fourth proportional to 199,288.98, 299,075.63 and 110,613.42 is: 165,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,288.98 : 299,075.63 = 110,613.42 : x
  2. Step 2: Convert to fraction form
    199,288.98/299,075.63 = 110,613.42/x
  3. Step 3: Cross multiply
    199,288.98x = 299,075.63 × 110,613.42
  4. Step 4: Simplify right side
    199,288.98x = 33,081,777,719.89
  5. Step 5: Solve for x
    x = 33,081,777,719.89/199,288.98
  6. Step 6: Final answer
    x = 165,999.03

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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.