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Finding the Fourth Proportional to 199,289.23, 299,076 and 110,613.67

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Solution

The fourth proportional to 199,289.23, 299,076 and 110,613.67 is: 165,999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,289.23 : 299,076 = 110,613.67 : x
  2. Step 2: Convert to fraction form
    199,289.23/299,076 = 110,613.67/x
  3. Step 3: Cross multiply
    199,289.23x = 299,076 × 110,613.67
  4. Step 4: Simplify right side
    199,289.23x = 33,081,893,968.92
  5. Step 5: Solve for x
    x = 33,081,893,968.92/199,289.23
  6. Step 6: Final answer
    x = 165,999.41

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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.