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Finding the Fourth Proportional to 272,648.10, 408,097.35 and 193,916.10

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Solution

The fourth proportional to 272,648.10, 408,097.35 and 193,916.10 is: 290,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,648.10 : 408,097.35 = 193,916.10 : x
  2. Step 2: Convert to fraction form
    272,648.10/408,097.35 = 193,916.10/x
  3. Step 3: Cross multiply
    272,648.10x = 408,097.35 × 193,916.10
  4. Step 4: Simplify right side
    272,648.10x = 79,136,646,532.34
  5. Step 5: Solve for x
    x = 79,136,646,532.34/272,648.10
  6. Step 6: Final answer
    x = 290,251.96

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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.