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Finding the Fourth Proportional to 204,775.70, 307,163.55 and 133,916.90

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Solution

The fourth proportional to 204,775.70, 307,163.55 and 133,916.90 is: 200,875.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,775.70 : 307,163.55 = 133,916.90 : x
  2. Step 2: Convert to fraction form
    204,775.70/307,163.55 = 133,916.90/x
  3. Step 3: Cross multiply
    204,775.70x = 307,163.55 × 133,916.90
  4. Step 4: Simplify right side
    204,775.70x = 41,134,390,409.00
  5. Step 5: Solve for x
    x = 41,134,390,409.00/204,775.70
  6. Step 6: Final answer
    x = 200,875.35

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1.5x scale

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.