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Finding the Fourth Proportional to 200,031.50, 300,194.94 and 94,850.84

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Solution

The fourth proportional to 200,031.50, 300,194.94 and 94,850.84 is: 142,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,031.50 : 300,194.94 = 94,850.84 : x
  2. Step 2: Convert to fraction form
    200,031.50/300,194.94 = 94,850.84/x
  3. Step 3: Cross multiply
    200,031.50x = 300,194.94 × 94,850.84
  4. Step 4: Simplify right side
    200,031.50x = 28,473,742,222.75
  5. Step 5: Solve for x
    x = 28,473,742,222.75/200,031.50
  6. Step 6: Final answer
    x = 142,346.29

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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.