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Finding the Fourth Proportional to 199,284.93, 299,100.09 and 104,582.03

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Solution

The fourth proportional to 199,284.93, 299,100.09 and 104,582.03 is: 156,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,284.93 : 299,100.09 = 104,582.03 : x
  2. Step 2: Convert to fraction form
    199,284.93/299,100.09 = 104,582.03/x
  3. Step 3: Cross multiply
    199,284.93x = 299,100.09 × 104,582.03
  4. Step 4: Simplify right side
    199,284.93x = 31,280,493,089.88
  5. Step 5: Solve for x
    x = 31,280,493,089.88/199,284.93
  6. Step 6: Final answer
    x = 156,963.67

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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.