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Finding the Fourth Proportional to 193,545.20, 289,972.20 and 165,897.20

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Solution

The fourth proportional to 193,545.20, 289,972.20 and 165,897.20 is: 248,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,545.20 : 289,972.20 = 165,897.20 : x
  2. Step 2: Convert to fraction form
    193,545.20/289,972.20 = 165,897.20/x
  3. Step 3: Cross multiply
    193,545.20x = 289,972.20 × 165,897.20
  4. Step 4: Simplify right side
    193,545.20x = 48,105,576,057.84
  5. Step 5: Solve for x
    x = 48,105,576,057.84/193,545.20
  6. Step 6: Final answer
    x = 248,549.57

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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.