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Finding the Fourth Proportional to 433,143.19, 649,775.85 and 133,648.12

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Solution

The fourth proportional to 433,143.19, 649,775.85 and 133,648.12 is: 200,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,143.19 : 649,775.85 = 133,648.12 : x
  2. Step 2: Convert to fraction form
    433,143.19/649,775.85 = 133,648.12/x
  3. Step 3: Cross multiply
    433,143.19x = 649,775.85 × 133,648.12
  4. Step 4: Simplify right side
    433,143.19x = 86,841,316,856.78
  5. Step 5: Solve for x
    x = 86,841,316,856.78/433,143.19
  6. Step 6: Final answer
    x = 200,491.02

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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.