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Finding the Fourth Proportional to 289,096.80, 433,645.20 and 164,680.80

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Solution

The fourth proportional to 289,096.80, 433,645.20 and 164,680.80 is: 247,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,096.80 : 433,645.20 = 164,680.80 : x
  2. Step 2: Convert to fraction form
    289,096.80/433,645.20 = 164,680.80/x
  3. Step 3: Cross multiply
    289,096.80x = 433,645.20 × 164,680.80
  4. Step 4: Simplify right side
    289,096.80x = 71,413,038,452.16
  5. Step 5: Solve for x
    x = 71,413,038,452.16/289,096.80
  6. Step 6: Final answer
    x = 247,021.20

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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.