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Finding the Fourth Proportional to 200,095.89, 299,946.96 and 94,988.67

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Solution

The fourth proportional to 200,095.89, 299,946.96 and 94,988.67 is: 142,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,095.89 : 299,946.96 = 94,988.67 : x
  2. Step 2: Convert to fraction form
    200,095.89/299,946.96 = 94,988.67/x
  3. Step 3: Cross multiply
    200,095.89x = 299,946.96 × 94,988.67
  4. Step 4: Simplify right side
    200,095.89x = 28,491,562,800.94
  5. Step 5: Solve for x
    x = 28,491,562,800.94/200,095.89
  6. Step 6: Final answer
    x = 142,389.55

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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.